Question

X and Y intercept of y+3=2(x+3)

Answer 1

$\begin{gathered} \text{Given} \\ y+3=2(x+3) \end{gathered}$

Solving for x-intercept

Substitute y = 0 to solve for the x-intercept.

$\begin{gathered} y+3=2(x+3) \\ 0+3=2(x+3) \\ 3=2x+6 \\ 3-6=2x \\ -3=2x \\ 2x=-3 \\ \frac{2x}{2}=\frac{-3}{2} \\ x=-\frac{3}{2} \\ \\ \text{Therefore, the }x\text{-intercept is at }(-\frac{3}{2},0). \end{gathered}$

Solving for y-intercept

Substitute x = 0 to solve for y-intercept

$\begin{gathered} y+3=2(x+3) \\ y+3=2(0+3) \\ y+3=2(3) \\ y+3=6 \\ y=6-3 \\ y=3 \\ \\ \text{Therefore, the }y\text{-intercept is at }(0,3). \end{gathered}$