Question

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

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at $(0,1)$, so $b=1$.

Step2: Calculate slope

Pick two points: $(0,1)$ and $(-1,8)$. Use slope formula:
$$m=\frac{y_2-y_1}{x_2-x_1}=\frac{8-1}{-1-0}=\frac{7}{-1}=-7$$

Step3: Plug into slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=-7$ and $b=1$.

Answer:

$y=-7x+1$