which of the following is the slope intercept form of the equation of this line

Which Of The Following Is The Slope Intercept Form Of The Equation Of This Line

Answers

Answer 1

Answer:

The slope-intercept form of the equation of this line is:

[tex]y=-x[/tex]

Hence, option 'c' is true.

Step-by-step explanation:

From the line equation, let us take two points

(1, -1)(-1, 1)

Finding the slope between two points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-1,\:1\right)[/tex]

[tex]m=\frac{1-\left(-1\right)}{-1-1}[/tex]

[tex]m=-1[/tex]

From the line graph, we can determine the y-intercept by setting x=0 and checking the y-value at x=0

at x=0, y=0

Thus, (0, 0) is the y-intercept

We know that the slope-intercept form of the line equation is

y=mx+b

where

m=slope b=y-intercept

As we have already determined m=-1 and y-intercept=b=0

so substituting m=-1, b=0 in the slope-intercept form of the line equation

[tex]y=mx+b[/tex]

[tex]y=(-1)x+0[/tex]

[tex]y=-x[/tex]

Thus, the slope-intercept form of the equation of this line is:

[tex]y=-x[/tex]

Hence, option 'c' is true.


Related Questions

If there are 360 g of radioactive material with a half life (decreased by half or 50% )of 1 hour, how much of the radioactive material will be left after 4 hours ?

Answers

After 1 hour, 360 g decays to 180 g.

After another hour (total 2 hours), 180 g decays to 90 g.

After another hour (total 3), 90 g decays to 45 g.

After one more (total 4), 45 g decays to 22.5 g.

More quickly, with a half-life of 1 hour, the 360 g of starting material decays to

(360 g) / 2⁴ = 22.5 g

In general, if the half-life is 1 hour, then after n hours, an initial amount A of this substance decays according to

A / 2

What is the gravitational PE of the same 61.2 kg person standing on the 6th floor (Each story is 2.5 m high)?

Answers

Answer: U is the change in PE, m is the mass raised through a distance h. So, given m = 61.2 kg, each 1 m rise is an increase of (61.2)(9.8) = 600 J. Likewise, each floor (2.5 m) represents a change in PE of 1500 J for this mass.

CAN SOMEONE PLEASE HELP ME!!
Consider the polynomial function h(x) = -7x6 + 3x4 – 5x2.
What is the end behavior of the graph of h ?

Answers

Answer: As x -> ♾, h(x) -> -♾, and as x -> -♾,h(x) -> -♾

Step-by-step explanation:

The end behavior is x ----> ∞ then h(x) ----> -∞, and when x ----> -∞ then h(x) -----> -∞.

What is Function?

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

h(x) = -7[tex]x^6[/tex] + 3 [tex]x^4[/tex]– 5x².

If we plot the Equation on the Graph we can see a parabolic Curve.

This Curve tells as x tends to ∞ the value of h(x) tends to -∞.

and, when x tends to -∞ the value of h(x) tends to -∞.

Hence, the end behavior is x ----> ∞ then h(x) ----> -∞.

and, when x ----> -∞ then h(x) -----> -∞.

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1+1-1/1+11-1/11=
First to answer gets Brainliest!!

Answers

Answer:11.9090909

Step-by-step explanation:

Answer:

11 10/11

1 + 1 - 1 + 11 - 1/11

12 - 1/11

12x11/11-1/11

132-1/11

131/11

11 10/11

please help.............

Answers

Answer:

The answer is 4

Answer:

image 1

Step-by-step explanation:

because pointing down is then 180 and taking another 90 degrees and go in counterclockwise direction

Solve for w
-6=2w+6
Simplify your answer as much as possible.

what would be the answer to this question?

Answers

Answer:

w = -6

Step-by-step explanation:

2w + 6 = -6

     -6      -6

2w = -12

÷2      ÷2

w = -6

Answer:

Step-by-step explanation:

w - 6 = 2w + 6

Subtract 6 from both sides

w - 12 = 2w

subtract 1w, or w, from both sides

-12 = w

I neeed help pls :p Math

Answers

Answer:

C 4cm

Step-by-step explanation:

times 1.3 by 4 then divide 16 by 4

3²+26+[tex]\sqrt{125\\}[/tex]-625

Answers

Answer:

−590+5√5

^-^hope this helped^-^

Which equation represents exponential decay?
PLEASE HELP!!!
I WILL HIVE BRAINLEIST IF YOU HELP

Answers

Answer:

C.

Step-by-step explanation:

Decay is getting smaller, and c is the only one where B will reduce the size of something.

1: How many half miles are in 12 miles?
2: How many quarter hours are in 5 hours?
3: How many one-third cups are in 9 cups?
4: How many one-eighth pizzas are in 4 pizzas?
5: How many one-fifths are in 7 wholes?
Molly has cups of flour. If this is / of the amount she needs to make bread, how many cups does she need?

Answers

Answer:

yes

Step-by-step explanation:

Answer: 1) 6

2) 20

3) 3

4) 32

5) dont know sorry

Step-by-step explanation:

ill give the crown pls <3

Answers

Answer:

Below

Step-by-step explanation:

a) [tex]y =\frac{1}{3} \sqrt{x+4}[/tex]

b) [tex]y=4\sqrt{x} +3[/tex]

c) [tex]y=\sqrt{\frac{1}{2} x} -6\\[/tex]

which one of the following things is NOT an example of velocity?

1. 3 miles per hour towards home
2. driving south at 80 miles per hour
3. riding a bicycle at 10 miles per hour
4. diving downward into a pool at 5 meters per second

Answers

Answer:

4

Step-by-step explanation:

Velocity is speed and direction
3. Doesn’t have a direction so number 3 is not an example of velocity

Please help due in 9 minutes

Answers

Answer:

1. b, 2. d, 3. c, 4. a.

Answer:

Step-by-step explanation:

4/7 goes to 1/7, because 1/7 is a part of 4/7

12/15 goes to 1/15 because 1/15 is the unit fraction of 12/15

6/9 goes to 1/9

and 1/3 goes to 2/3

What is the slope of the line that contains Points (-3,-5) and (2, 7)?

Answers

Answer:

12/5

Step-by-step explanation:

Answer: there is no valid slope. unless you have a fraction for the b

Step-by-step explanation:

Four friends bought an extra-large $12 popcorn. Each person bought their own drink. The total cost of the food can be represented by the expression 4x + $12.

Answers

Answer:

True

Step-by-step explanation:

This equation correctly represents the total cost of the food that the friends ended up paying for the popcorn and sodas. In this expression, the cost of each individual soda is represented by the variable x which is multiplied by 4 since each one of the four friend's purchased their own soda. After making this multiplication process that product is added to the initial $12 that they all spent together on the popcorn.

Each friend paid $4 for popcorn.

The total cost of the food can be represented by the expression 4x + $12.

Given

Four friends bought an extra-large $12 popcorn.

Each person bought their own drink.

Let x be the number of friends.

The total cost of food= Total number of friends + cost of popcorn.

The total cost of the food can be represented by the expression 4x + $12.

Therefore;

The amount paid by each friend is;

[tex]\rm 4x=12\\\\x=\dfrac{12}{3}\\\\x=4[/tex]

Hence, each friend paid $4 for popcorn.

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Four students have rewritten the expression with rational exponent xi in radical form as shown.
Jodie
Mark
Paul
Sally
Who has rewritten this expression correctly?
A. Jodie
B. Mark
C. Paul
D. Sally

Answers

A. Jodie ! Have a nice day

best answer=brainiest can someone please explain algebraic expressions?

Answers

Answer: In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). For example, 3x2 − 2xy + c is an algebraic expression.

Step-by-step explanation:

Answer:

An algebraic expression includes variables. Variables are letters that stand for a potential number; most commonly you see x, y, and z used but you can use any letter. Constants are also common in algebraic expressions, and are numbers that are added or subtracted, as well as coefficients, which are what you multiply the variable by.

For example:

3x + 1

Here, the variable is x. The constant is 1. The coefficient is 3.

These are different then other expressions because of the addition of variables. 4 + 4 is not an algebraic expression, but 4x + 4 is.

Algebraic expressions also do not have equal signs, they are not equations.

They can also be more complicated than the ones I've expressed already. 3x^4 + 2x^2 + 4 is an algebraic expression too.

Hope this helps!

17 people over max capacity as an expression is what?

Answers

Answer: x + 17

Step-by-step explanation:

if capacity is x, 17 is added to x, hence x + 17

I’m mental i can do this

Your answer is Incorrect.
A sofa is on sale for 28% off. The sale price is $486.
What is the regular price?

Answers

Answer:chicken

Step-by-step explanation:

Put the chicken in the oven turn to 450 degrees let it sit for 4-5 hours

According to the boxplot shown below, what is the third quartile (Q3) value?



4
11
27
49

Answers

Answer:

Step-by-step explanation:

the answer is 49.0 so it’s d I just took the test

Rewrite
19/8
as a mixed number.

Answers

it would be 2 3/8 bc 8 can go into 19 2 times and 16 plus 3 is 19

Answer:

189

8/91

8/19 your welcomeeeeeeeeeeee:)))))

HELP ME!

a student measures the length of an object to be 152 cm. what is the measurement in km?

Answers

Answer: 0.00152 km

Step-by-step explanation:

Answer: 0.00152km

Step-by-step explanation:

Noah's brother sells cars and earns 4.5% commission. He sold a truck for $62,000. How much commission will his brother earn?

Answers

Answer:

the commission earn by his brother is $2,790

Step-by-step explanation:

The computation of the commission earn by his brother is as follows

= Selling price of the truck × commission percentage

= $62,000 × 4.5%

= $2,790

Hence, the commission earn by his brother is $2,790

We simply applied the above formula so that the correct value could come

And, the same is to be considered

1. A 13-ounce package of pistachios costs $5.99. ___________________________

Problems 2-4. Find the unit rate to the nearest cent per ounce. Compare.
2. A 24-ounce box of cornflakes costs $4.59. ___________________________
3. A 36-ounce box of cornflakes costs $5.79. ___________________________
4. Which box is the better buy? ___________________________

1)
2)
3)
4)

Answers

Answer:

1) 1 ounce costs 46 cents. 2) 1 ounce  of cornflakes costs 19 cents ( 0.19125).

3) 1 once cornflakes is 16 cents (0.1608) ( 36-ounces). 4) The 36 ounce box is a better buy.

Step-by-step explanation:

Divide the cost by the number of x units to find the cost of one unit. You are welcome.

When a system of linear equations is graphed, how is the graph of each equation related to the solutions of that equation?​

Answers

Answer:

The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

Step-by-step explanation:

Simplify 4 sin x cos x csc x

Answers

Answer:

That would be 4cos(x)

Have a great day don't forget to mark brainliest.

My daily point give away!!! What is ten times 30 minus 1

Answers

Answer:

29!

Step-by-step explanation:

tysm!

Answer:

10×30-1=299

Step-by-step explanation:

10×30=300

300-1=299

thx

A customer at a store paid $42 for 4 pairs of pants and 3 shirts At the same store, a second customer paid $2 more for 1 pair of pants and 7 shirts. The price of each pair of pants is the same, and the price of each shirt is the same. Which system of equations can be used to find the price in dollars of each pair of pants, x, and each shirt, y?

Answers

Answer:

A

Step-by-step explanation:

I just took the test

Help pls fast I really need help

Answers

Answer:

104

Step-by-step explanation:

13x4x2

Answer:

104 cubic inches

Step-by-step explanation:

help Plzz!!!!!!!!!!!!!

Answers

Answer:

$0.27

Step-by-step explanation:

Dividing 3.78 and 14 would get you 0.27 which is the unit price per tangerine.

$0.27
Is the right answer
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