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