A line passes through the point (-4,-8) and has a slope of -5/2

Answer 1

y=-5x/2 + b

plug in x=-4, y=-8 to solve for b

-8=-5(-4)/2 + b

b= -8 -10=-18

y=-5x/2 -18 is the line in slope intercept form

or

5x + 2y = -36 in standard form

Answer 2

Using point-slope form presented in Algebra 1:

(y + 8) / (x + 4) = -5 / 2