The definition of **Point-Slope Form** is any equation of the form:

y-y¹ = m(x-x¹)

Note: **There is no graphing**. We seek the equation of the line.

ex) Find the equation through (3,-4) with slope m=1/2.

1) We “plug in” the numbers into our equation:

y – y¹ = m(x-x¹)

y-(-4) = ½(x-3)

2) This becomes our **Point-Slope Form**:

y+4 = ½(x-3)

2) Distribute and Isolate y:

y+4 = ½x – 3/2

3) This now becomes our **Slope-Intercept Form**:

y = ½x – 11/2