(-5,3), (4,-5). Slope intercept form

Answer 1

you have two points. So, the line is

y-3 = (-5-3)/(4+5) (x+5)

now just rearrange that into y=mx+b form.

Answer 2

(-5,3), (4,-5).

Y = mx + b,

m = (-5-3)/(4-(-5)) = -8/9,

Y = (-8/9)(-5) + b = 3,
b = 3 - 40/9 = 27/9-40/9 = -13/9.

Eq: Y = (-8/9)x - 13/9.