Need the answer for this it’s kinda simple to do but i forgot how to do it.

Given:

Original point (2, -2)

Scale factor (k) = 5

Center = origin = (0, 0)

To find:

The image of (2, -2)

Solution:

Let be the original point and be the image of the point.

Image of the point is obtained by multiplying original point by scale factor.

Substitute the given values:

The image of (2, -2) after dilation is (10, -10).

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is