Question

Consider the line y=x+4.

Find the equation of the line that is parallel to this line and passes through the point (-5, 4).
Find the equation of the line that is perpendicular to this line and passes through the point (-5, 4).

Answer 1

y=x+9

Explanation:

y=x+4

When you are trying to find a line parallel to an equation, keep the x and its coefficient and change the constant to a b.

y=x+b

Then you plug in the coordinates.

4=-5+b

b=9

y=x+9