Question

use the intercepts to graph the equation.

• x + 4y = 8

use the graphing tool to graph the line. use the intercepts when drawing the line. if only one intercept exists, use it and another point to draw the line
click to enlarge graph

Explanation:

Step1: Find x-intercept (y=0)

Substitute $y=0$ into $-x + 4y = 8$:
$$-x + 4(0) = 8 \implies -x = 8 \implies x = -8$$
x-intercept: $(-8, 0)$

Step2: Find y-intercept (x=0)

Substitute $x=0$ into $-x + 4y = 8$:
$$-(0) + 4y = 8 \implies 4y = 8 \implies y = 2$$
y-intercept: $(0, 2)$

Step3: Verify with a third point

Choose $x=4$, substitute into the equation:
$$-4 + 4y = 8 \implies 4y = 12 \implies y = 3$$
Third point: $(4, 3)$

Answer:

Plot the points $(-8, 0)$, $(0, 2)$, and $(4, 3)$ on the grid, then draw a straight line passing through all three points to represent the equation $-x + 4y = 8$.