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