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3 years ago

Why equation is represented by the equation on the graph

Mathematics

2 answers:

Anni [7]3 years ago

6 0

Answer:

Choice D is correct answer.

Step-by-step explanation:

We have given a line.

We have to find the equation of line.

y = mx+c is the equation of line where m denotes slope and c is y-intercept of line.

y-intercept is a point on graph where value of x is zero.

From graph,we observed that

y-intercept is 2.

c = 2

Now, select any point that is passes through the line.

(x,y) = (2,0)

Putting values in equation of line, we have

0 = m(2)+2

2m = -2

m = -1

Hence, slope is -1,

y = (-1)x+(2)

y = -x+2 is equation of line given on the graph.

Nina [5.8K]3 years ago

4 0

Answer: Option D

Step-by-step explanation:

The equation of the line, by definition, has the following form:

y=mx+b

Where m is the slope and b is the y-intercept

As you can see in the graph, the line intercept the y-axis at 2, therefore b=2.

Now, to find the slope, choose any point of the line and solve for m:

Point (1,1)

1=m(1)+2

-1=m

Then, the equation is:

y=-x+2

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Answer:

f(x) = 72-12x

Step-by-step explanation:

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3 years ago

Which are the x-intercept and y-intercept of the line drawn through the points A and B?

ladessa [460]

First you have to figure out what the equation of the line is. Let's use the slope formula to find the slope, and then one of the points to find the y-intercept. We'll put the line's equation in y=mx+b form.

$slope = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} } \\ slope = m \\ m = \frac{5 - 1}{-7 - 1} \\ m = \frac{4}{-8} \\ m = - \frac{1}{2}$

Now, we'll use that slope in y=mx+b form with one of the coordinates in order to find what b (which is also the y-intercept) equals
$y = - \frac{1}{2}x + b \\ 1 = 1(- \frac{1}{2}) + b \\ 1 = - \frac{1}{2} + b \\ 1 \frac{1}{2} = b$

therefore your y-intercept is equal to 1.5. In order to find the x-intercept we'll take our new equation $y = - \frac{1}{2} + 1 \frac{1}{2}$ and make y = 0, because the line intersects with the x-axis when y is equal to zero.

$y = - \frac{1}{2}x + 1 \frac{1}{2} \\ 0 = - \frac{1}{2}x + 1 \frac{1}{2} \\ -1 \frac{1}{2} = - \frac{1}{2}x \\ x = 3$

therefore, your x-intercept is 3 and your y-intercept is 1.5

6 0

3 years ago

Find the volume of a cone with a height of 6 in and a base radius of 4 in

Neko [114]

Answer:

The answer is

Step-by-step explanation:

The volume of a cone is given by

$V = \frac{1}{3} \pi {r}^{2} h$