Question

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

Answer 1

Answer:

So after reflecting over the x-axis, the equation is:

$-y = x-2$

so the equation in the slope-intercept form

$-y = x-2$

$y=-x+2$

Here,

• The slope = m = -1

• The y-intercept = b = 2

Step-by-step explanation:

Given the equation

$y = x - 2$

Reflecting over the x-axis inverts the sign of the y-coordinate, but the sign of the x-coordinate remains the same.

So after reflecting over the x-axis, the equation is:

$-y = x-2$

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