Question

Find the equation of the line that is parallel to the given line and passes through the given point.

y = −5x + 1; (5, 7)

Answer 1

y = -5x + 32

Explanation:

y = -5x + 1

=> (d): 5x + y - 1 = 0

d' is parallel to the given line and passes through the given point

=> (d'): passes through (5;7)

// (d): 5x + y - 1 = 0

=> (d'): 5x + y - 32 = 0 <=> y = -5x + 32

Answer 2

See attachment for math work and answer.

The equation we are looking for is parallel to the given equation. This means both equations have the same slope.