Question

question 6 of 10, step 1 of 2
consider the following function.
p(x) = -2 - \frac{2}{5}x
step 1 of 2: find the slope and the y-intercept. express the intercept as an ordered pair. simplify your answer.
slope:
y-intercept:
answer
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Explanation:

Step1: Match to slope-intercept form

The slope-intercept form is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept (the y-value when $x=0$). Rewrite the given function:
$p(x) = -\frac{2}{5}x - 2$

Step2: Identify the slope

Compare to $y=mx+b$: $m = -\frac{2}{5}$

Step3: Identify the y-intercept

The y-intercept occurs at $x=0$. Substitute $x=0$:
$p(0) = -\frac{2}{5}(0) - 2 = -2$
As an ordered pair, this is $(0, -2)$

Answer:

Slope: $\boldsymbol{-\frac{2}{5}}$
y-intercept: $\boldsymbol{(0, -2)}$