Question

y=2/3×+8find the x and y intercept

Answer 1

x intercept is x-cutting point. Found by setting y equal to 0.

y intercept is y-cutting point. Found by setting x equal to 0.

X-intercept: (y = 0)

$\begin{gathered} y=\frac{2}{3}x+8 \\ \frac{2}{3}x-8=0 \\ \frac{2}{3}x=8 \\ x=\frac{8}{\frac{2}{3}}=8\cdot\frac{3}{2}=12 \\ x=12 \end{gathered}$

Y-intercept (x=0):

$\begin{gathered} y=\frac{2}{3}x+8 \\ y=0-8 \\ y=-8 \end{gathered}$