A line segment in the coordinate plane has endpoints at A(-2,7) and B(3, 7). If AB is dilated by a factor of 4 with a center at the origin, which of the following is the length of its
image, A'B'?

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

9 x 8 divided by (5-3)=36

the function makes a strait line horizontally with no x intercept but a y intercept at 9.