Question

Choose the equation below that represents the line passing through the point (−5, 1) with a slope of three halves.

Answer 1

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$\frac{1}{2}$