Question

use this graph of f to find f(5).

Explanation:

Step1: Identify line equation form

We use slope-intercept form $y=mx+b$.

Step2: Find y-intercept $b$

From graph, $b=7$ (y-axis crossing point).

Step3: Calculate slope $m$

Use points $(0,7)$ and $(2,0)$:
$m=\frac{0-7}{2-0}=-\frac{7}{2}$

Step4: Write full line equation

$y=-\frac{7}{2}x+7$

Step5: Substitute $x=5$

$y=-\frac{7}{2}(5)+7=-\frac{35}{2}+\frac{14}{2}$

Answer:

$-\frac{21}{2}$ or $-10.5$