What is the slope-intercept form of the equation of the line through the point (-8, 7) and parallel to the line x + y = 13x+y=13?

1 Answer
jk.13
Mar 30, 2018

y=-x-1y=−x−1

Explanation:

We know that this line will have the same slope as the line x+y=13x+y=13, as they are parallel, so we need to find the slope first.
y=-x+13y=−x+13 m=-1m=−1

Now, we can use the coordinates given and the slope we just found and plug the information into point-slope form.
y-y_1=m(x-x_1)y−y1=m(x−x1)
y-7=-1(x+8)y−7=−1(x+8)
y-7=-x-8y−7=−x−8
y=-x-1y=−x−1

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