Question

What is the equation of the line described below written in slope-intercept form?

the line passing through point (-1, 5) and parallel to the line whose equation is x + y = 10

A. y = x - 4
B. y = x + 4
C. y = -x + 4

Thank you to anyone who helps!

Answer 1

y = -x + 4

Explanation:

Answer 2

The line it is parallel to is x + y = 10, but you can put that into slope-intercept form by subtracting x and get y = 10 - x. This is all the working you need to do because the only answer given that has a negative slope is C. y = -x + 4, and parallel lines always have the same slope, so your answer is C. I hope this helps!