Question

write the equation of this line in slope-intercept form.
write your answer using integers, proper fractions, and improper fractions in simplest form

Explanation:

Step1: Identify intercepts

The line crosses y-axis at (0, -4) (y-intercept $b=-4$) and x-axis at (8, 0).

Step2: Calculate slope

Slope $m = \frac{0 - (-4)}{8 - 0} = \frac{4}{8} = \frac{1}{2}$

Step3: Write slope-intercept form

$y = mx + b = \frac{1}{2}x - 4$

Answer:

$y = \frac{1}{2}x - 4$