To put this information into Slope-Intercept form, you first need to set up a Point-Slope equation. The equation is [tex]y - y_1 = m (x - x_1)[/tex], where [tex]x_1[/tex] and [tex]y_1[/tex] are your given ordered pair and m is the given slope.
[tex]y - y_1 = m (x - x_1)[/tex] Plug in the given information
y - 7 = [tex] \frac{3}{4} [/tex] (x - 3) Use the Distribuitve Property
y - 7 = [tex] \frac{3}{4} [/tex]x - [tex] \frac{9}{4} [/tex] Simplify [tex] \frac{9}{4} [/tex]
y - 7 = [tex] \frac{3}{4} [/tex]x - 2[tex] \frac{1}{4} [/tex] Add 7 to both sides
y = [tex] \frac{3}{4} [/tex]x + 4[tex] \frac{3}{4} [/tex]
