Question

write an equation of the line below.

Explanation:

Step1: Identify two points

Points on the line: $(0,1)$ and $(6,7)$

Step2: Calculate slope $m$

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

Step3: Find 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 $m=1$, $b=1$: $y=1x+1$

Answer:

$y=x+1$