Answer
a) $= \frac{2}{3}$
b) $y = 4$
c) $x = -6$
d) $y = \frac{2}{3}x + 4$
Work Step by Step
a) Slope at point $(24, 20)$ and $(-6, 0)$
$m = \frac{20-0}{24-(-6)}$
$= \frac{20}{24+6}$
$= \frac{20}{30}$
$= \frac{2}{3}$
b) $y$ intercept: Where $x = 0$, what is the $y$ value / $y$ intercept
$y = 4$ at point $(0, 4)$
c) $x$ intercept: Where $y = 0$, what is the $x$ value / $x$ intercept
$x = -6$ at point $(-6, 0)$
d) Equation
$y = mx + b$
$y = \frac{2}{3}x + 4$