How can you write the equation for a linear function if you know only two ordered pairs for the function?
Drag tiles to complete the explanation. Tiles may be used once, more than once, or not at all.
Answers
Answer:
Use the two ordered pairs to find the slope, m.
Then substitute one set of ordered pairs and m into y = mx + b to solve for b
Step-by-step explanation:
If we are given two ordered pairs of a function and we need to write an equation that represents the linear function, first, what we need to do is to use the two ordered pair to find the slope, m, using the formula, [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex].
After getting the slope (m), find the value of the y-intercept (b), by substituting the value of one of the ordered pairs and the slope value (m) into y = mx + b.
Once the value of m and b is known, plug in the value of m and b into y = mx + b to derive the equation of the linear function.
Use the 2 ordered pairs to find the slope, m .
Then substitute m and one set of ordered pairs into y = mx + b to solve for b.
If given the 2 ordered pairs for a function, the ordered pairs can be first used to find the slope of the function.
For example
(x₁, y₁)(x₂, y₂)
m = slope = y₂ - y₁ / x₂ - x₁
The slope(m) is then substituted in the slope intercept form equation.
y = mx + b
where
m = slope
b = y-intercept
And one set of the ordered pairs is also substituted in the equation to get the value of the y-intercept(b).
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Related Questions
what is the value of the expression of 83-5x6
Answers
Answer:
x = 77/5
Step-by-step explanation:
I am going to assume that the equation is 83 - 5x = 6. First, we need to subtract 6 on both sides. So, our equation should look like 77 - 5x = 0
Then, add 5x to both sides. So, the equation should be 77 = 5x. Divide by 5 on both sides to get x = 77/5.
Solving systems by elimination: Abbie bought a combination of streamers and balloons for a birthday party. The number of balloons, y, was three less than two times the amount of streamers perchased, x,. If Abbie bought a combination of 9 balloons and streamers, what system of equations can represent the situation?
Answers
Answer:
the two equations you can use are
y = 2x - 3
y + x = 9
If you flip a fair coin 6 times, what is the probability that you will get exactly 4 tails
Answers
Answer: So the number of outcomes with exactly 4 tails is 720/2/24 = 15. Finally we can now calculate the probability of getting exactly 4 tails in 6 coin tosses as 15/64 = 0.234 to 3 decimal places.
Answer:
4 tails in 6 coin tosses as 15/64 = 0.234 to 3 decimal places.
Step-by-step explanation:
HELP DUE TOMORROW ASAP BAINLYEST
Answers
Answer:
B is the correct answer
Step-by-step explanation:
3/12 = 1/4 = 0.25
Answer:
Step-by-step explanation:
(B)
Write the equation in slope-intercept form: x-4y=8
Answers
Answer:
y=1/4x-2
Step-by-step explanation:
slope intercept form is y=mx+b
your equation right now is in standard form: ax+by=c
equation: x-4y=8
what we want to do is isolate y on one side
subtract x from both sides
-4y=-x+8
divide by 4 on both sides
y=1/4x-2
Hope this helps! :)
Answer:
[tex]y = \frac{1}{4} x - 2[/tex]
Step-by-step explanation:
First thing to do is siolate the y variable. We do this by subtracting x from both sides of the equation in this particular equation.
[tex]x - 4y = 8 \\ - x \: \: \: - x \\ - 4y = - x + 8[/tex]
Now we change the -4y into just y using division. We have to divide boths sides by -4 to do so.
[tex] - 4y = - x + 8 \\ \div ( - 4) \: \: \div ( - 4) \\ y = \frac{1}{4}x - 2[/tex]
There it is in slope intercept form.
HELP!!!! Please help me!!!
Answers
Answer:
The answer you have checked is the correct one.
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answers
Answer:
ddddd
Step-by-step explanation:
Divide. Give the quotient and remainder.
2831 divided by 25
Answers
Answer:
113 R 6
Step-by-step explanation:
I NEED HELP QUICKLY PLEASE. POSSIBLY GIVING BRAINLIEST.
A computer technician charges a flat rate for home visits plus $ 55 per hour. The technician bills $190 for a 2-hour home visit to install a new hard drive. The equation y − 190 = 55(x − 2) gives the total amount y the technician charges for x hours of work.
The equation in slope-intercept form is y = 55x + 80.
What does the y-intercept in this equation represent?
a. the rate of change
b. the total cost
c. the flat rate
IT IS NOT A. I TRIED AND GOT IT WRONG.
Answers
Answer:
y - 190 = 55(x - 2)....distribute thru the parenthesis
y - 190 = 55x - 110....now add 190 to both sides
y = 55x - 110 + 190..simplify
y = 55x + 80 <== slope intercept form (y = mx + b)
i found this on brainly:)
Step-by-step explanation:
Answer:
the flat rate is the right answer on edge
Step-by-step explanation:
help asap will make brainlest
Answers
Answer:
C
Step-by-step explanation:
Slope of first equation: -1/2; y-int: -1
Slope of second equation: 1/4; y-int: -4
Answer:
C:
y= -1/2x -1
y= 1/4x -4
Step-by-step explanation:
Quick maths
A graphic novel prints 12 issues per year, and a comic book prints 10 issues per year. The total number
of pages in all the issues of the graphic novel for one year is 32 more than the total number of pages in
all the issues of the comic book for one year. Each issue of the graphic novel has 18 fewer pages than
each issue of the comic book. Which system of equations can be used to find g, the number of pages in
each issue of the graphic novel, and c, the number of pages in each issue of the comic book?
Answers
Answer:
answer is che choi
Step-by-step explanation: wow ur in high school mathematics? i have this same question in middle school algrbra HHAHA
Ursula ordered products for the craft store. She ordered baskets that cost $17 each and flower arrangements that cost $13 each. She spent a total of
$576.
If Ursula ordered 14 baskets, how many flower arrangements did she order?
Answers
Answer:
26 flower arrangements
Step-by-step explanation:
14 times $17 equals $238
$576 - $238 = $338
$338/13 = 26 flower arrangements
select the equation represented by the graph
Answers
Answer:
your answer will bw the option A.
Step-by-step explanation:
Need help asp!!!plz
What is the output of the function y = 2" + 4 if the input is -2?
Answers
Answer:
Step-by-step explanation:
4(s + 50) 52 +30s + 200
On Monday, Takira counted 75 splatters of bird droppings on her car. On Tuesday afternoon, she counted 21 more. What is the percent change in the number of bird droppings on Takira's car from Monday to Tuesday?
Answers
Answer:
28%
Step-by-step explanation:
percent change in the number of bird droppings = increase in splatters / splatters counted on Monday x 100
[tex]\frac{21}{75}[/tex] x 100 = 28%
Someone help me :/ asap :(
Answers
Answer:
B
Step-by-step explanation:
Answer: B
Step-by-step explanation:
Mr. Zahbor has a balance on his credit card of $212.45. He writes a check for $165.45. After he has paid, how much more will he need to pay to have a zero balance?
Answers
Answer:
$47
Step-by-step explanation:
There are 120 bouncy balls in a display bin. Of the bouncy balls in the bin, one-half are priced at $0.25 each, one-fifth are priced at $0.75, and the remaining bouncy balls are priced at $1.50. What is the total value of the bouncy balls in the bin? Write a numerical expression that can be used to solve the problem. Then solve it.
Answers
Answer:
$87
Step-by-step explanation:
Total bouncy balls = 120
one-half are priced at $0.25 each
1/2 of 120
= 1/2 × 120
= 120/2
= 60
Price of 1/2 = 60 × $0.25
= $15
one-fifth are priced at $0.75
1/5 of 120
= 1/5 × 120
= 120/5
= 24
Price of 1/5 = 24 × $0.75
= $18
Remaining bouncy balls = 120 - 60 - 24
= 36
Price of remaining balls = 36 × $1.50
= $54
Total value of the bouncy balls in the bin = Price of 1/2 + Price of 1/5 + Price of remaining balls
= $15 + $18 + $54
= $87
Drag each figure to show if it is similar to the figure shown or why it is not similar.
Answers
Answer:
Step-by-step explanation:
Similar figures have the same shape but the same size.
Moving from left to right:
The first figure is similar because the ratio is 6:14 which is the same as the figure 3:7.
The second figure is not similar because of shape
The third figure is is not similar because the ratio is 6:12 which is not the same as the figure 3:7
The fourth figure is similar because it is rotated
The fifth figure is not similar because of shape
The sixth figure is not similar because of the ratio of 2:3.5 which is not the same as the figure's ratio of 3:7
Simplify the expression.
5.3x - 9 + 7.6x
Answers
Answer:
12.9x-9
Step-by-step explanation:
First you have to combine the like terms which are 5.3x + 7.6x= 12.9x. Then you just rewrite the equation 12.9x-9. You just leave the 9 by it self beacuse thers no other like terms.
Anwer
12.9x−9 :)
5.3x+−9+7.6x
Combine Like Terms:
=5.3x+−9+7.6x
=(5.3x+7.6x)+(−9)
=12.9x+−
A soccer team uses 5-gallon coolers to hold water during games and practices. Each cooler holds 640 fluid ounces. The team has small cups that each hold 6.25 fluid ounces and large cups that each hold 8.75 fluid ounces. 1. The team fills c coolers for practice. During practice, the players pour s small cups and g large cups of water. Write an expression that represents the amount of water that remains in the coolers.
Answers
Answer:
640c - 6.25s - 8.75g
Step-by-step explanation:
640c - 6.25s - 8.75g
What is y-8=3(x+1) in standard form
Answers
Answer: 3x - y= -11
Step-by-step explanation: just rewrite in youre standard form equation
3x−x+3−9=6
i cant solve this
Answers
Answer:
3x - x + 3 - 9 = 6
3x - x + 3 = 6 +9
2x +3 = 15
2x = 15 - 3
2x = 12
x= 12/2
x= 6
Rules - When the side changes , sign changes .for ex (-9) on changing side (from left to right ) becomes plus 9
The table shows the cost to Brenda for her textbooks at her local college. Which description accurately matches the table?
A)New textbooks cost $120 each, and used textbooks cost $40 each. She is
buying 2 new textbooks and x used textbooks.
B)New textbooks cost $100 each, and used textbooks cost $80 each. She is
buying 2 new textbooks and x used textbooks.
C)New textbooks cost $120 each, and used textbooks cost $80 each. She is
buying 2 new textbooks and x used textbooks.
D)New textbooks cost $100 each, and used textbooks cost $40 each. She is
buying 2 new textbooks and x used textbooks.
Answers
Answer:
a
Step-by-step explanation:
120plus2 equals 240 then add 40 for every number on graph
Answer:
a
Step-by-step explanation:
A line segment is 20 units long. The line segment is translated up 6 units and left 8 units. The length of the resulting line segment is
either 4 or 20 or 34 units because translations
decrease or increase or preserve length.
Is the resulting lin segment 4 or 20 or 34? And do the translations decrease or increase or preserve? That is my question please help me.
Answers
Answer:
The length of the resulting line segment is 20 units and the length of a line segment is preserved on translation.
Step-by-step explanation:
The given length of the line segment is 20 units.
The line segment is translated up 6 units and left 8 units.
Here, the line segment is translated, so the whole line segment is at a new position after translation, there is no change in the length of the line.
So, the length of the line segment is preserved on translation.
After translation, the length of the line remains unchanged.
So, the length of the resulting line segment is 20 units.
What is the domain of the step function f(x) graph form
Answers
Answer:
When a function is represented on a graph of against , the domain of the function is the values for which the graph is drawn. Looking at the graph more closely, we can see that this step function has been drawn for values from negative eight all the way up to 6.5.
Step-by-step explanation:
Answer:
Step-by-step explanation:
When a function is represented on a graph of against , the domain of the function is the values for which the graph is drawn. Looking at the graph more closely, we can see that this step function has been drawn for values from negative eight all the way up to 6.5.
Hope this helps! I can give examples if needed!
SOLVE. |y - z| when y=7, z= 11
please help I am super confused and im in the middle of the test
Answers
Answer:
[tex]y - z \\ = 7 - 11 \\ = - 4[/tex]
solve for x.
2/3x = 10
Answers
Answer:
x=15
Step-by-step explanation:
2/3x = 10
To find x divide both sides by 2/3.
2/3x÷2/3 = 10÷2/3
x=15
Easy!! :3
Answer~x = 15
Steps~(2/3)*x = 10 // - 10
(2/3)*x-10 = 0
2/3*x-10 = 0 // + 10
2/3*x = 10 // : 2/3
x = 10/2/3
x = 15
------------------------------------------------------------------------Hope i helped!!
Have a great day!!
( `w`)``
Steven charges the following for repairing washing machines:
£24 call-out charge + £14 for each half-hour he spends on the repair
if a repair costs a customer £66, how long did it take?
Answers
Answer:
Step-by-step explanation:
20
If m∠2=48°, what is the m∠5?
Answers
Answer:
132º
Step-by-step explanation:
We can see from the image that 2 is vertical angles with 4, making 4 48º.
Because angle 4 is consecutive interior angles with angle 5, they add up to 180.
180-48=132º