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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.

Respuesta :

absor201

Answer:

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

[tex]-y = x-2[/tex]

so the equation in the slope-intercept form

[tex]-y = x-2[/tex]

[tex]y=-x+2[/tex]

Here,

  • The slope = m = -1
  • The y-intercept = b = 2

Step-by-step explanation:

Given the equation

[tex]y = x - 2[/tex]

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:

[tex]-y = x-2[/tex]

Now, writing the equation in the slope-intercept form

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

so the equation in the slope-intercept form

[tex]-y = x-2[/tex]

[tex]y=-x+2[/tex]

Here,

  • The slope = m = -1
  • The y-intercept = b = 2