Question

how would you solve in slope intercept form is parallel to 3x-5y=7 and passes through (0,-6)

Answer 1

A. find the slope.
if it is parallel to the other graph, then it must have the same slope. id change the equation to y=mx+b where m equals the slope and b equals the y intercept. so, whatever the coefficient is in this equation will be the slope.
B. now, we need to make the new equation
y=mx+b
you've already found the slope (m) fill that in.
y=?x+b
b is the y intercept... your point is the y intercept (-6). so that gives you the b...
y equals the slope you found above * x + (-6