Question

The equation of a line is y = –2x + 1. What is the equation of the line that is parallel to the first line and passes through (2, 2)?

Answer 1

Parallel lines have the same slope so for the new line we m=-2 and the point (2,2) we will substitute this info into our line to solce for b the y intercept.

Y=-2x+b
(2)=-2(2)+b
2=-4+b
2+4=-4+4+b
6=b

Now we put it all together using the slope m=-2 and the y intercept of 6
Y=-2x+6