Question

graph the linear equation. x - 4y = -8 use the graphing tool to graph the equation.

Explanation:

Step1: Rewrite in slope - intercept form

Solve $x - 4y=-8$ for $y$. First, subtract $x$ from both sides: $-4y=-x - 8$. Then divide by $-4$: $y=\frac{1}{4}x + 2$.

Step2: Find the y - intercept

In the equation $y=\frac{1}{4}x + 2$, when $x = 0$, $y=2$. So the y - intercept is the point $(0,2)$.

Step3: Find the x - intercept

Set $y = 0$ in the equation $y=\frac{1}{4}x + 2$. Then $0=\frac{1}{4}x+2$. Subtract 2 from both sides: $-2=\frac{1}{4}x$. Multiply both sides by 4 to get $x=-8$. So the x - intercept is the point $(-8,0)$.

Step4: Plot the points and draw the line

Plot the points $(0,2)$ and $(-8,0)$ on the coordinate plane and draw a straight line passing through them.

Answer:

Graph the line passing through the points $(0,2)$ and $(-8,0)$ on the given coordinate grid.