91Ó°ÊÓ

The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis.

Then, algebraically,

• an x-intercept is a point on the graph where y is zero, and
• a y-intercept is a point on the graph where x is zero.

More specifically,

• an x-intercept is a point in the equation where the y-value is zero, and
• a y-intercept is a point in the equation where the x-value is zero.

Graph the equation by using x and y-intercept method. First, find the x and y intercept from the equation and then plot the points on the grid and join then to complete the graph.

Find the x-intercept, plug in $y=0$in the equation.

$$\begin{gathered} x=8−y \\ x=8−0\text{[Plugin}y=0] \\ x=8 \end{gathered}$$

x-Intercept: $x=8$.

Find the y-intercept, plug in $x=0$in the equation.

$$\begin{gathered} x=8−y \\ 0=8−y\text{[Plugin}x=0] \\ −8=8−y−8 \\ −8=y \\ y=−8 \end{gathered}$$

y-Intercept:$y=−8$

Graph the line $x=8−y$ with x and y intercepts points are (8, 0) and (0, 8).

Thus, x and y intercepts are$x=8$ and $y=8$.