Answer:
Point-Slope form comes from definition of slope. If given points (u,v) and (x,y), then slope, highlight%28m=%28y-v%29%2F%28x-u%29%29 in which the known point may be (u,v).
Solving that equation for y,
m%28x-u%29=y-v
y=m%28x-u%29%2Bv
y=mx-um%2Bv
y=mx%2Bv-um
highlight%28y=mx%2B%28v-um%29%29 which is in slope-intercept form, for some given point (u,v) on the line.
The slope, m. The y-intercept, v-m