Question

Use the equation y = x - 2 and perform a reflection over the x-axis. Write an equation in 2

1

slope intercept form that represents the new line.

Answer 1

Please check the explanation.

Explanation:

Given the equation

y=x-2

We know that Reflecting over the x-axis inverts the sign of the y-coordinate.

Thus, after reflecting over the x-axis, the equation would be:

-y = x - 2

Now, writing the equation in the slope-intercept form

y=mx+b

where

• m is the slope and

• b is the y-intercept

so the equation in the slope-intercept form

-y = x - 2

y = -x + 2

Here,

• The slope = m = -1

• The y-intercept = b = 2