Point-slope form is [tex]y - y_{1} = m (x - x_{1})[/tex], wher m is slope and [tex]x_{1} and y_{1}[/tex] are the given coordinates.
y - 1 = [tex] \frac{3}{2} [/tex] (x - (-5)) Cancel out the double negative
y - 1 = [tex] \frac{3}{2}[/tex] (x + 5) Use the Distributive Property
y - 1 = [tex] \frac{3}{2} [/tex]x + [tex] \frac{3 x 5}{2} [/tex] Simplify the numerator
y - 1 = [tex] \frac{3}{2} [/tex]x + [tex] \frac{15}{2} [/tex] Simplify the fraction
y - 1 = [tex] \frac{3}{2} [/tex]x + 7[tex] \frac{1}{2} [/tex] Add 1 to both sides
y = [tex] \frac{3}{2} [/tex]x + 8[tex] \frac{1}{2} [/tex]
