Write an equation of the line satisfying the given conditions.

Question

Write an equation of the line satisfying the given conditions.

Through

​(4​,−7​) parellel to 7x = 8y + 10

Answer 1

Parallel lines have the same slope. The given line is

7x - 8y = 10

m = -7/(-8) = 7/8

y = (7/8)x + b

Solve for b using the given point.

-7 = (7/8)(4) + b

Solve for b and finish from here.

Answer 2