Answer
Answer H
Work Step by Step
Point 1: $(0,-4)$ as $(x_1,y_1)$
Point 2: $(1,4)$ as $(x_2,y_2)$
Using the point-slope formmula:
$y-y_1=m(x-x_1)$
Finding $m=\frac{y_2-y_1}{x_2-x_1}=\frac{4-(-4)}{1-0}=8$
Plug in all the values:
$y-(-4)=m(x-0)$
$y+4=8x$
$y=8x-4$
To find the x-intercept, set $y=0$ and solve for $x$
$0=8x-4$
$8x=4$
$x=\frac{1}{2}$
Hence, the correct answer is H.
