Question

What is an equation of the line that passes through the point (−5,−6) and is parallel to the line 4x−5y=35?

Answer 1

Explanation:

for parallel lines ,we know that gradient(m) is the same therefore you should 1st solve the given eq to find the gradient (m)

4x-5y=35

5y=4x-35

y=(4/5)× - 7

m=4/5

y=mx+

-6= 4/5(-5) + C

C = -6 + 4 = -2

therefor your(eq)

y=(4/5)x -2