Writing an Equation Given Two Point
A line has an x-intercept of 3 and a y-intercept of -6.
The slope-intercept form of its equation is

Answers

Answer 1

The y-intercept is the value when x=0. The x-intercept of 3 corresponds to y=0, and the point on the line is (3,0). The y-intercept of 4 corresponds to x=0, and the point on the line is (0,4). ... Now that we have the slope, we can write the equation for the line in point-slope form. One quick way to do this is to use the fact that
3
⋅
4
=
12
to say an equation for this line is
4
x
+
3
y
=
12
(since, when
y
=
0
, it follows that
x
=
3
and when
x
=
0
it follows that
y
=
4
).
You could also find the slope of the line containing the points
(
x
,
y
)
=
(
3
,
0
)
and
(
x
,
y
)
=
(
0
,
4
)
as
Δ
y
Δ
x
=
4
−
0
0
−
3
=
−
4
3
so that the equation has the form
y
=
−
4
3
x
+
b
, where
b
is the
y
-intercept so the equation becomes
y
=
−
4
3
x
+
4
. This is equivalent to the last answer because you can multiply everything by 3 and rearrange to get
4
x
+
3
y
=
12.

Related Questions

A bathtub filled with 40 gallons of water drains at an average rate of 3 p minute what is the rate of change and initial value of the linear function that models the amount of water in the bathtub after starts draining

Answers

Answer:

The rate of change = 3 gallons of water per minute

initial value = 40 gallons of water

Step-by-step explanation:

Initial volume of the bathtub = 40 gallons of water

Average rate of drain = 3 gallons of water per minute

what is the rate of change and initial value of the linear function that models the amount of water in the bathtub after starts draining?

The rate of change is 3 gallons of water per minute and initial value is 40 gallons of water

If there are 7 boys for every 3 girls, how many boys would there be if there were 60 girls?

Answers

Answer:

140

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

PLEASEEEE HELPPP!!

Which property is illustrated by the equation
3x – 6y = 3(x - 2y)?
1. associative
2.Commutative
3.distributive
4.closure

Answers

Answer:distributive

Step-by-step explanation:

Find the distance between -12 and 25

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

You can use absolute value to solve this. l-12l+l25l=12+25=37

Absolute value is the distance from 0.

22. Determine the value of c so that the line
segment with endpoints B(2, 2) and C(9,6)
BC
is parallel to the line segment with endpoints
D(c, -7) and E(5, -3).

help is appreciated !!!

Answers

Answer:(

(-4,-3)

Step-by-step explanation:

You get the negative and subtract from y1 and y2 and then ad x1 with the result of the subtraciton. : ) hope this helps!

PLEASEEEE HELPPPPPPP ASAPPPPP

Answers

Answer:

x>-1

Step-by-step explanation:

first, you have to distribute. 12x+8-6>2x-16+8

then you have to combine like terms 12x+2>2x-8

you put the X's on one side 10x+2> -8

move the 2 to the -8 10x>-10

divide x>-1

Answer:

Number 2. x>-1

Step-by-step explanation:

4(3x+2) is 12x+8. 12x+8-6 is 12x+2.

12x+2>8+2(x-8)

2(x-8) is 2x-16. 2x-16+8 is 2x-8.

12x+2>2x-8

12x>2x-10

10x>-10

x>-1

12х – 5y = — 20
y = x+4
can someone help me find the x and y

Answers

Answer:

0 I think because when you plug y in and combine like terms, you get 7x=0

Answer:

(I'm not sure what you're asking but I believe you're asking for the coordinate where they intersect!)

The lines intersect at (0, 4)

Step-by-step explanation:

Question:

12x-5y=-20

y=x+4

1) Simplify the first equation!

12x-5y=-20

Move 12x to the other side (remember when you move numbers to the opposite side of the equation, it makes them negative) to isolate y!

-5y=-20-12x

Divide all numbers by -5 to just get the variable y

y=4+12/5x

2) Solve

I'm going to be solving by substitution since I like this method the best!

y=4+12/5x

y=x+4

1) Set the equations equal to another (you'll be replacing the variable of y for an equation)

x+4 will be replacing y of the other equation

x+4 = 4+12/5x

2) Simplify

Subtract x on both sides

x-x + 4 = 4+ 12/5x-x

4=4+7/5x

Subtract 4 on both sides

0=7/5x

x is equal to 0!

3) Find y

1) Set x equal to 0 in an equation (I'm doing y=x+4 because it's easier!)

y=x+4

y=0+4

2) Simplify

y=4

Answer:

(0, 4)

Triangles H J K and L M N are congruent. Triangle H J K is rotated about point H to form triangle L N M. Triangle L M N is higher than triangle H J K. How can a translation and a rotation be used to map ΔHJK to ΔLMN? Translate H to L and rotate about H until HK lies on the line containing LM. Translate K to M and rotate about K until HK lies on the line containing LM. Translate K to N and rotate about K until HK lies on the line containing LN. Translate H to N and rotate about H until HK lies on the line containing LN.

Answers

Answer:

Translate K to N and rotate about K until HK lies on the line containing LN.

Step-by-step explanation:

Hope this helps bb's!!

Lots of love and peace your way!! <3

For a translation and a rotation map of ΔHJK to ΔLMN is given by translating K to N and rotating about K until HK lies on the line containing LN. Option C is correct.

What are translation and rotation?

When a form travels around a fixed point or over the mirror line without altering, it is said to be translating. When a form rotates around a fixed point, it is said to be rotating.

In conclusion, The translation and rotation of the map ΔHJK to ΔLMN Translate K to N and rotate about K until HK lies on the line containing LN.

The image of the triangle translation is attached with the answer below.

Answers

B- because you only get 1.8 ounces more than the 6.2 for 50c which if you divid 2.97 and 6.2 its less than 50c.
Not sure if its right-

What is the y-intercept of the line 3x – 4y = 24?

Answers

Answer:

-4 becuase when you graph it the y intercepts at -4

Step-by-step explanation:

Answer:

y-intercept: (0,-6)

Step-by-step explanation:

To find the y-intercept of an equation you make x equal to 0 and we get the equation -4y=24 when we solve that equation by dividing by -4 from both sides and we get our y which is -6.

Hope this helps you :)

______ terms are also expressions. (please fill in the blank)
A. No
B. All
C. Some

Answers

Answer: The answer is some

I know this because I go to Harvard

Answer:

The answer is some

Is there another way to convert fractions to decimals?

Answers

One way is just to divide the numerator by the denominator.

When Rhonda was 12, her grandmother made her a quilt. Each pattern in the quilt contained 126 quares. The
pattern was repeated 8 times to make the entire quilt. How many squares were in Rhonda's quit?

Answers

Answer:

B. The quilt consisted of 1,008.

Step-by-step explanation:

You take the initial number of squares the quilt had, which was 126. If that number was repeated 8 times for the entire quilt you would have to take 126*8 and the answer would be 1,008.

If this helped you please click the thanks button.

Thank you and good luck! :-D

which is the best estimate for this expression ?
a) 300
b) 40
c) 3
d)0.4

Answers

Answer:

Step-by-step explanation:

What is the answer and method to find the quotient of 5.25/1.5

Answers

Answer: 3.5

Use long division

HELLLLP!!!!
A recipe for 16 banana nut muffins calls for one cup of flour the number of muffins that can be made varies directly with the amount of flour used there are 3 1/ 4th cups of flour available how many muffins can be made

Answers

Answer:

52 muffins

Step-by-step explanation:

3 * 16 = 48

48 + 4 = 52

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution set of this problem?
a. (♾,-21)
b. (♾, -21)
c. (-21,♾)
d. (21,♾)

Answers

Answer:

Step-by-step explanation:

i honetsly think

Estimate the product 0.62 x 104

Answers

Answer:

The estimated product is 52.

Step-by-step explanation:

0.62 is 0.38 away from one and 0.12 away from 0.5. Since it's closer to 0.5, we'll round it to that. 104 doesn't need to be rounded because it's a whole number. So, 1/2 of 104 is 52. The estimated product is 52

Hope this helps! :)

Which of these expressions shows unlike terms?

Your answer:

2x +7x

2x+2y

2(x+1)

3x+1x

Answers

Answer:

2x+2y

Step-by-step explanation:

x and y are unlike terms, and the only unlike terms in this list. you cannot add them together – therefore, 2x+2y is the answer you seek.

Roxanne has already jarred 10 liters of jam and will jar an additional 3 liters of jam every
day. How many days does Roxanne need to spend making jam if she wants to jar 16 liters
of jam in all?
Explain please and how to do the equation

Answers

Answer:

My logic:

so she jars 10 on the first day (that is 1 day) and she wants to jar 16. so if you subtract 10 from 16 you get 6. Now we know she wants to jar 6 more, and if she does 3 every day then you would divide 6 by 3 and get 2. 2+1 is 3, so 3 days. (if you cant chose 3 chose 2 because your teacher might not want yo to count the first day)

Hope this helped!

solve equation by factoring 8x^2-8x=0

Answers

Answer: x= 0 or x= 1

Step by step:

Step 1: Factor left side of equation.

= 8x (x – 1) = 0

Step 2: Set factors equal to 0.

= 8x = 0 , x = -1 = 0

= x = 0 , x = –1

1/4 x 2 2/3, what is the product? (In fraction)

Answers

1/4 * 8/3 = 8/12 = 2/3

Answer:

8/12

Step-by-step explanation:

you want to write out your problem so it is

1/4 * 2 2/3

then you would want to change your 2nd fraction into an improper fraction (i think. i don't remember the correct term)

so you would multiply the denominator by the whole number on the side and then add the numerator to it

2 2/3 would them become 8/3 (you keep the denominator the same through the process)

so then you would multiply

1/4 by 8/3

multiply across and you get 8/12

Im not a very good explainer but i hope i helped :)

What is the slope of the line represented by the equation 3x - 2y=5

Answers

Answer:

m = 3/2

General Formulas and Concepts:

Pre-Alg

Equality Properties

Alg I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define function

3x - 2y = 5

Step 2: Rewrite

Subtract 3x on both sides: -2y = 5 - 3xDivide -2 on both sides: y = -5/2 + 3/2xRewrite: y = 3/2x - 5/2

Step 3: Identify

Slope m = 3/2

y-intercept b = -5/2

PLS ANSWER NO MESSING AROUND PLSSSSSS TWO PEOPLE ALREADY FAKED IT

Answers

Answer:

Step-by-step explanation:

1). 3

2). $23.63

3). 18.1 seconds

V = LWH solve for the variable w

Answers

Answer:

w=v/lh

Step-by-step explanation:

V=LWH
Circle W
Now divide LH from V
W=V/LH
That’s the answer!

An object is moving at a speed of 850 miles per hour. Express this speed in meters per minute.

Answers

Answer:

it would be 1385

Step-by-step explanation: because 850 miles per hour converted into meter per min would be 22799.04 meters per sec and then u would Find the number in the whole number place 4 and look one place to the right for the rounding digit on the right side of the decimal point 7. Round up if this number is greater than or equal to 5 and round down if it is less than 5

So the answer is 1385

Answer:

22799 meters per minute I don't know how to express

multiply 850 by 26.822 and u should get 22799 well almost

PLEASE HELP ME!!!! its due today
Twelve and three tenths more than five and thirteen thousandths of a number d is equal to fifteen and three hundred two thousandths. What is the value of d?

Answers

Answer:

d=5

Step-by-step explanation:

If there are 63 butterflies in 3 gardens, how many butterflies are in 2 gardens?

Answers

Answer:

Step-by-step explanation:

63 divided by 3 first because you need to break each group down into equal gardens with the same amount of butterflies.

now you have 21 you need to multiply with the number 2 because you need to know how many butterflies are in two gardens

and now you get 42

Giving 100 points if someone can answer this correctly...

x³+y³+z³=42

What is x y and z multiplied by 9.08 * 10³

this question is dumb. you should be able to get it

Answers

Answer:

3813.6

Step-by-step explanation:

90.8 x 42 = 3813.6

which of the following terminating decimals is equivalent to -1 3\4

Answers

Answer:

Step-by-step explanation:

-1 3/4 = -1.75.

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Writing an Equation Given Two Point A line has an x-intercept of 3 and a y-intercept of -6. The slope-intercept form of its equation is

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Writing an Equation Given Two Point
A line has an x-intercept of 3 and a y-intercept of -6.
The slope-intercept form of its equation is