Question

Write the equation of the line that is perpendicular to y - x = 7 and that passes through the point (- 2, - 2) . Give your answer in slope-intercept form. Plz I need this bad

Answer 1

`y = -x`

Explanation:

Given

Perpendicular to: y - x = 7

Passes through: (2,2)

Required: The line equation

In
`y - x = 7`

`y = x + 7`

An equation has the form:
`y = mx + b` where m is the slope

So:

`m = 1`

The required equation is parallel to
`y = mx + b`. This means that:

`m_2 = -(1)/(m_1)`

`m_2 = -(1)/(1)`

`m_2 = -1`

The equation isthen calculated using:

`y = m(x - x_1) + y_2`

`y = -1(x - (-2)) -(-2)`

`y = -1(x +2) +2`

`y = -x -2 +2`

`y = -x`