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 intercept and point

The line crosses y-axis at $(0,5)$ (y-intercept $b=5$) and passes through $(8,3)$.

Step2: Calculate slope

Slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 5}{8 - 0} = \frac{-2}{8} = -\frac{1}{4}$

Step3: Write slope-intercept form

$y = mx + b = -\frac{1}{4}x + 5$

Answer:

$y = -\frac{1}{4}x + 5$