Answer
a) $m = \frac{15}{4}$
b) $y = -5$
c) $x \approx 1.33...$
d) $y = \frac{15}{4}x - 5$
Work Step by Step
a) Slope of the line: Take two clear points on the line and find the slope. Points $(0, -5)$ and $(4,10)$.
$m = \frac{10-(-5)}{4-0}$
$m = \frac{10+5}{4}$
$m = \frac{15}{4}$
b) Vertical intercept / $y$ intercept
$y = -5$ at point $(0, -5)$, refer to the graph
c) Horizontal intercept / $x$ intercept
$x = 1.3$ at point $(\approx1.3,0)$, simply estimate the intersection.
Since the $x$ intercept is not clear, you could double check using the equation in step d):
$0 = \frac{15}{4}x - 5$
$5 = \frac{15x}{4}$
$20 = 15x$
$x = \frac{20}{15}$
$x = \frac{4}{3}$
$x \approx 1.33...$
d) Equation
$y = mx + b$
$y = \frac{15}{4}x - 5$
