8b+12-b=8+7b+4
7b+12=12+7b
-7b
7b-7b+12=12
-12 -12
0= 12-12
0=0
Slope is vertical change over horizontal change. Since coordinates conveniently give both the horizontal and vertical coordinates of a points, we can use the coordinates of both points to differentiate, or find the change horizontally and the change vertically between the two points.
P = 4r + 3t
4r = p - 3t
r = (p - 3t)/4
Triangles with a 90 degree angle. We use the sine, cosine and tangent functions to determine the missing angles and sides.