Question

graph this line using intercepts:
8x + 3y = -24
click to select points on the graph.

Explanation:

Step1: Find x-intercept (set y=0)

Substitute $y=0$ into $8x + 3y = -24$:
$$8x + 3(0) = -24$$
$$8x = -24$$
$$x = \frac{-24}{8} = -3$$
x-intercept: $(-3, 0)$

Step2: Find y-intercept (set x=0)

Substitute $x=0$ into $8x + 3y = -24$:
$$8(0) + 3y = -24$$
$$3y = -24$$
$$y = \frac{-24}{3} = -8$$
y-intercept: $(0, -8)$

Step3: Plot points and draw line

Mark the points $(-3, 0)$ and $(0, -8)$ on the grid, then draw a straight line through them.

Answer:

The x-intercept is $(-3, 0)$ and the y-intercept is $(0, -8)$. Plot these two points and connect them to graph the line $8x + 3y = -24$.