Question

question 6 of 10, step 2 of 2
consider the following function.
p(x) = -2 - \frac{2}{5}x
step 2 of 2: plot two points on the line to graph the function.
answer

Explanation:

Step1: Find y-intercept (x=0)

Substitute $x=0$ into $p(x)$:
$p(0) = -2 - \frac{2}{5}(0) = -2$
Point: $(0, -2)$

Step2: Find x-intercept (p(x)=0)

Set $p(x)=0$ and solve for $x$:
$0 = -2 - \frac{2}{5}x$
$\frac{2}{5}x = -2$
$x = -2 \times \frac{5}{2} = -5$
Point: $(-5, 0)$

Answer:

Two points to plot are $(0, -2)$ and $(-5, 0)$