Write an equation, in slope-intercept form, for the line that passes through the point (2, -2) and is parallel to the line y=−x−2

Answer 1

Hi Landon,

To find the equation of the line that passes through the point (2, -2) and is parallel to y = -x - 2, you first identify the slope of the given line.

In the equation y = -x - 2, the slope is -1.

Parallel lines have the same slope, so the line you're looking for will also have a slope of -1.

The general equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Using the point (2, -2) to solve for b, the equation becomes: -2 = -1(2) + b -2 = -2 + b b = 0

So, the equation of the line in slope-intercept form is y = -x.

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Best regards,

Ben

Answer 2

Check out Ben's written explanation! Great way to look at the answer from a different angle!