Question

use the point - slope formula to write an equation of the line that passes through (0, 2) and (-5, 0). write the answer in slope - intercept form (if possible). the equation of the line is

Explanation:

Step1: Calculate the slope

The slope formula is $m=\frac{y_2-y_1}{x_2-x_1}$. Using points $(0,2)$ and $(-5,0)$:
$m=\frac{0-2}{-5-0}=\frac{-2}{-5}=\frac{2}{5}$

Step2: Use point-slope form

Point-slope formula: $y-y_1=m(x-x_1)$. Use $(0,2)$:
$y-2=\frac{2}{5}(x-0)$

Step3: Simplify to slope-intercept form

Slope-intercept form is $y=mx+b$. Simplify the equation:
$y=\frac{2}{5}x + 2$

Answer:

$y=\frac{2}{5}x + 2$