Question

graph this function:
$f(x) = -2x - 16$

Explanation:

Step1: Identify slope-intercept form

The function $f(x) = -2x - 16$ follows $y=mx+b$, where $m=-2$ (slope) and $b=-16$ (y-intercept).

Step2: Locate y-intercept

The y-intercept is at $(0, -16)$.

Step3: Use slope for second point

Slope $\frac{\Delta y}{\Delta x} = \frac{-2}{1}$. From $(0, -16)$, move 1 right, 2 down to $(1, -18)$, or 8 left, 16 up to $(-8, 0)$ (x-intercept, found by setting $0=-2x-16 \implies x=-8$).

Step4: Plot and connect points

Mark $(0, -16)$ and $(-8, 0)$, draw a straight line through them, extending across the grid.

Answer:

The graph is a straight line passing through the points $(-8, 0)$ and $(0, -16)$, with a slope of $-2$, extending across the provided coordinate grid.