What we know...
Slope-Intercept Form: y=mx+b
When m is the slope and b is the y intercept.
Standard Form: Ax+By=C
Where A and B are not both zero (A, B, C are real numbers)
The New Equation...
Point-Slope Form: y-y1=m(x-x1)
Where m is the slope and y1 and x1 are points in an ordered pair.