Question

write the equation of this line in slope-intercept form.

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at $(0, 6)$, so $b=6$.

Step2: Calculate slope

Use two points $(0,6)$ and $(7,0)$. Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{0-6}{7-0}=-\frac{6}{7}$

Step3: Plug into slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=-\frac{6}{7}$ and $b=6$.

Answer:

$y=-\frac{6}{7}x+6$