What is an equation for the line parallel to y = -3x – 5 that contains (-1, 8)?

slope = -3

y intercept = 5

Explanation:

The given line is in the form y = mx+b, so the slope is m = -3

Any parallel line to this one will also have the same slope, but a different y intercept.

Plug (x,y) = (-1,8) and m = -3 into y = mx+b so we can find new y intercept.

y = mx+b

8 = -3(-1) + b

8 = 3+b

8-3 = b

5 = b

b = 5

So because m = -3 and b = 5, this means we have y = -3x+5 as our answer.

step-by-step explanation:

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