Question

write an equation of the line below.

Explanation:

Step1: Identify two points

The line passes through $(0, 1)$ and $(-3, 7)$.

Step2: Calculate slope $m$

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{7-1}{-3-0}=\frac{6}{-3}=-2$

Step3: Identify y-intercept $b$

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

Step4: Write slope-intercept equation

Slope-intercept form: $y=mx+b$
Substitute $m=-2$ and $b=1$.

Answer:

$y=-2x+1$