is parallel to 3x-5y and passes through (0,-6)

Answer 1

I assume you are asking for the equation of a line. Parallel lines have the same slope. Although the given equation is missing the constant (as pointed out by tutors Denise and Paul), will still have

a = 3

b = -5

Then

m = -a/b = -3/(-5) = 3/5

y = mx + b = (3/5)x + b

Use the given point to find b.

-6 = (3/5)(0) + b

b = -6

y = (3/5)x - 6

Answer 2

Parallel means same slope. Find slope from 5y = 3x and dividing both sides by 5. Then y = 3x/5.

Y-intercept is given in the problem statement as -6. The answer is y = (3x/5) - 6.