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In the coordinate plane, line p has slope 8 and y-intercept (0, 5). Line r is the result of dilating line p by a factor of 3 with center (0, 3). What are the slope and y-intercept of line r?

A.
Line r has slope 8 and y-intercept (0, 9).

B.
Line r has slope 8 and y-intercept (0, 5).

C.
Line r has slope 5 and y-intercept (0, 2).

D.
Line r has slope 11 and y-intercept (0, 8).

Respuesta :

920348

Answer:

im not that smart but

Step-by-step explanation:

Given that In the coordinate plane line p had slope 8 and y intercept (0,5).

Hence equation of line p is

y = 8x+5 (slope intercept form)

When we dilate p by a factor of 3, we have

we find that slope would remain the same but the y intercept would become 3 times.

Hence new line would be

y = 8x+15

Slope = 8 and y intercept = 15

This line will be parallel to original line.

The line r has slope 8 and y-intercept (0, 9) and the equation of the line is y = 8x + 9 if the line p has slope 8 and y-intercept (0, 5). Line r is the result of dilating line p by a factor of 3 with center (0, 3) option (A) is correct.

What is a linear equation?

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

We have:

p has a slope of 8 and y-intercept (0, 5)

Line r is the result of dilating line p by a factor of 3 with center (0, 3).

Line p is:

y = 8x + 5

The center is not on the line because it does not satisfy the line.

Now dilated line r will have the same slope.

And inetercept = 3+3(5-3)

= 9

Thus, the line r has slope 8 and y-intercept (0, 9) and the equation of the line is y = 8x + 9 if the line p has slope 8 and y-intercept (0, 5). Line r is the result of dilating line p by a factor of 3 with center (0, 3) option (A) is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

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