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