Question

what is an equation of the line that passes through the points (8, 0) and (3, -5)?

Explanation:

Step1: Calculate slope $m$

The slope formula is $m=\frac{y_2-y_1}{x_2-x_1}$. Substitute $(x_1,y_1)=(8,0)$ and $(x_2,y_2)=(3,-5)$:
$m=\frac{-5-0}{3-8}=\frac{-5}{-5}=1$

Step2: Use point-slope form

Point-slope form: $y-y_1=m(x-x_1)$. Use $(8,0)$ and $m=1$:
$y-0=1(x-8)$

Step3: Simplify to slope-intercept form

Simplify the equation:
$y=x-8$

Answer:

$\boldsymbol{y = x - 8}$ (or equivalent forms like $x - y = 8$)