How do I write the equation in slope intercept form?

Question

Write an equation in slope intercept form for the line passing through (-1,5) and parallel to x+5y=7.

Answer 1

Parallel lines have the same slope.

x + 5y = 7

y = -x/5 + 7/5

m = -1/5

Equation of parallel line in slope intercept form:

y = mx + b

y = -x/5 + b

Get b from the given point.

5 = -(-1)/5 + b

The intercept is (0,b). Now solve for b and finish from here.