Question

the graph of a linear function p is shown below.
what is the y - coordinate of the y - intercept of function p?

Explanation:

Step1: Calculate slope from two points

Use points $(-2, 6)$ and $(5, -4.5)$.
Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{-4.5-6}{5-(-2)}=\frac{-10.5}{7}=-1.5$

Step2: Use slope-intercept form to find $b$

Slope-intercept: $y=mx+b$. Substitute $m=-1.5$ and point $(-2,6)$
$6 = -1.5(-2) + b$
$6 = 3 + b$

Step3: Solve for $b$ (y-intercept)

$b=6-3=3$

Answer:

3