Write an equation for the line that passes through the points (-5, 4) and (3, -2)

Find the slope:

y2 - y1/x2 - x1

plug in our values: -2-4/3-5

subtract: -6/-2

divide: 3/1

m = 3/1

now we need to put it in point slope form:
y - y1 = m(x - x1)

plug in our values: y - 4 = 3(x-5)

distribute the 3 to the values inside the parentheses by multiplication:

y - 4 = 3x - 15

get y by itself by getting rid of the 4 through addition:

y - 4 + 4 = y
3x - 15 + 4 = 3x - 11

equation for this line: y = 3x - 11