Start with point slope form:
y - y1 = m(x - x1)
y - 4 = (-3/4)(x - -2)
y - 4 = (-3/4)(x + 2)
We want slope intercept form (y = mx + b), so let's move things around a bit:
y - 4 = (-3/4)x - 3/2
y = (-3/4)x - 3/2 + 4
y = (-3/4)x - 3/2 + 8/2
y = (-3/4)x + 5/2
that's slope intercept form
.
Now move things around a bit to get standard form (Ax + By = C)
y = (-3/4)x + 5/2
(3/4)x + y = 5/2
multiply both sides by 4
3x + 4y = 10
that's standard form