Question

1.Choose the point-slope form of the equation below that represents the line that passes through the point (6, -3) and has a slope of 1/2.

Answer 1

Answer:

The equation is:

$y+3=\frac{1}{2}(x-6)$

Explanation:

Given that the line has slope of 1/2, and passes through th e point (6, -3), the equation in point-slope form is:

$\begin{gathered} y-y_1=m(x-x_1) \\ \\ \text{where} \\ x_1=6 \\ y_1=-3 \\ m=\frac{1}{2} \end{gathered}$

This becomes:

$\begin{gathered} y-(-3)=\frac{1}{2}(x-6) \\ \\ y+3=\frac{1}{2}(x-6) \end{gathered}$