Question

what is an equation of the line that passes through the points (0, 7) and (5, 5)?

Explanation:

Step1: Calculate slope of the line

The slope formula is $m=\frac{y_2-y_1}{x_2-x_1}$. Substitute $(x_1,y_1)=(0,7)$ and $(x_2,y_2)=(5,5)$:
$m=\frac{5-7}{5-0}=\frac{-2}{5}$

Step2: Identify y-intercept

The point $(0,7)$ is the y-intercept, so $b=7$.

Step3: Write line equation

Use slope-intercept form $y=mx+b$:
$y=-\frac{2}{5}x+7$

Answer:

$y=-\frac{2}{5}x+7$