Question

need help converting point slope form equation to slope intercept form(y+10)=1/3(x+9)

Answer 1

The slope-intercept form is

→ y = m x + b

→ m is the slope

→ b is the y-intercept

∵ The given equation is

$y+10=\frac{1}{3}(x+9)$

First, multiply the bracket (x + 9) by 1/3

$\begin{gathered} \because y+10=\frac{1}{3}(x)+\frac{1}{3}(9) \\ \therefore y+10=\frac{1}{3}x+3 \end{gathered}$

Subtract 10 from both sides

$\begin{gathered} \because y+10-10=\frac{1}{3}x+3-10 \\ \therefore y+0=\frac{1}{3}x-7 \\ \therefore y=\frac{1}{3}x-7 \end{gathered}$

The equation in the slope-intercept form is y = 1/3 x - 7