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

Question

write an equation in slope intercept form for this line. Answer only please, Thank you.

Answer 1

first write in point-slope form:

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

multiple both sides by 2

2y + 10 = -5(x + 2)

Distribute:

2y + 10 = -5x - 10

subtract 10 from both sides:

2y = -5x - 20

divide both sides by 2

y = -5/2 (x) - 10