Question

question 3 of 10 step 1 of 2
00:53:29
consider the following function.
$r(x) = 3 - \frac{5}{3}x$
step 1 of 2: find the slope and the y-intercept. express the intercept as an ordered pair. simplify your answer.
answer 2 points
slope:
$\boldsymbol{hspace{5em}}$
y-intercept:
$\boldsymbol{hspace{5em}}$
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Explanation:

Step1: Rewrite in slope-intercept form

Slope-intercept form is $y = mx + b$, where $m$ is slope, $b$ is y-intercept. Rearrange the given function:
$r(x) = -\frac{5}{3}x + 3$

Step2: Identify slope and y-intercept

Compare to $y = mx + b$:
Slope $m = -\frac{5}{3}$, y-intercept $b = 3$, which as an ordered pair is $(0, 3)$.

Answer:

Slope: $\boldsymbol{-\frac{5}{3}}$
y-intercept: $\boldsymbol{(0, 3)}$