Please help solve with steps, thank you.

Question

Find an equation for the line parallel to y+ -2x+8 and goes through the point (1,7)

 

Write your answer in the form of y=mx+b

Answer 1

There is a typo in the problem statement.  I assume you meant

 

y = -2x + 8

 

A line parallel to that line must have the same slope, but can have a different y-intercept b.

 

y = -2x + b

 

Since it goes through (1,7),

 

7 = -2(1) + b

b = 7 + 2 = 9

 

Final equation:

 

y = -2x + 9