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consider the following function. \\( g(x) = 4 - \\frac{1}{5}x \\) step …

Question

consider the following function. \\( g(x) = 4 - \frac{1}{5}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: \\( \square \\) \\( y \\)-intercept: \\( \square \\) keypad keyboard shortcuts

Explanation:

Step1: Rewrite in slope-intercept form

$g(x) = -\frac{1}{5}x + 4$

Step2: Identify the slope

The slope is the coefficient of $x$, so $m = -\frac{1}{5}$.

Step3: Identify the y-intercept

The y-intercept is the constant term, which corresponds to the ordered pair $(0, 4)$.

Answer:

Slope: $\boldsymbol{-\frac{1}{5}}$
y-intercept: $\boldsymbol{(0, 4)}$