What is the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –(x – 6) and passes through the point (−2, −2)? a. y = –x – b. y = –x + c. y = x – 1 d. y = x + 1

Hi there,
To find the answer to your problem, we first need to simplify the equation y - 4 = -(x - 6). Here are the steps to do this:

Use distributive property:

Add 4 to both sides:
y = -x + 10
Now, we have the original equation written in slope-intercept form, so it makes finding the parallel equation so much easier. To find the parallel equation, we need to plug in the coordinate values into the point slope form using the slope -1. Doing so gives us an equation of y = -x - 4. Hope this helps and have a great day!