Question

Write an equation of the line passing through point P(−2, 6) that is parallel to the line x=−5.

x=?

Answer 1

y = -5x - 4

Explanation:

Parallel lines have the same slope.

Construct our equation.

y = -5x + b.

Substitute the coordinate values into the equation.

6 = -5(-2) + b

6 = 10 + b

Subtract 10 on both sides.

-4 = b

b = -4

Our final equation is

y = -5x - 4