Question

Complete the point-slope equation of the line through (-4,8) and (4,4)Use exact numbers

Answer 1

Given:

$(-4,8)\text{ and (4,4) are passing through the line}$$\begin{gathered} \text{Slope(m)}=\frac{y_2-y_1}{x_2-x_1} \\ \text{Slope(m)}=\frac{4-8}{4+4} \\ \text{Slope(m)}=\frac{-4}{8} \\ \text{Slope(m)}=-\frac{1}{2} \end{gathered}$

Equation of line with the point (4,4) and the slope m

$\begin{gathered} (y-y_1)=m(x-x_1) \\ y-4=-\frac{1}{2}(x-4) \end{gathered}$