Question

consider the following function.
q(x) = 3 - \frac{3}{5}x
step 1 of 2: find the slope and the y-intercept. express the intercept as an ordered pair. simplify your answer.
slope:
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y-intercept:

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:
$q(x) = -\frac{3}{5}x + 3$

Step2: Identify slope ($m$)

The coefficient of $x$ is the slope:
$m = -\frac{3}{5}$

Step3: Identify y-intercept

The constant term $b$ gives the y-intercept. As an ordered pair, when $x=0$, $y=3$:
$(0, 3)$

Answer:

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