Question

question 10 of 10, step 2 of 2
consider the following equation.
5x + 8y = -20
step 2 of 2: graph the equation by plotting the x - and y - intercepts. if an intercept does not exist, or is duplicated, use another point on the line to plot the graph.
answer
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Explanation:

Step1: Find x-intercept (y=0)

Substitute $y=0$ into $5x + 8y = -20$:
$$5x + 8(0) = -20$$
$$5x = -20$$
$$x = -4$$
So x-intercept is $(-4, 0)$.

Step2: Find y-intercept (x=0)

Substitute $x=0$ into $5x + 8y = -20$:
$$5(0) + 8y = -20$$
$$8y = -20$$
$$y = -\frac{20}{8} = -\frac{5}{2} = -2.5$$
So y-intercept is $(0, -2.5)$.

Step3: Plot points and draw line

Plot the points $(-4, 0)$ and $(0, -2.5)$, then draw a straight line through them.

Answer:

The x-intercept is $(-4, 0)$, the y-intercept is $(0, -\frac{5}{2})$, and the line passes through these two points.