Question

write the equation of the line in fully simplified slope - intercept form.

Explanation:

Step1: Identify slope using two points

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

Step2: Find y-intercept $b$

Use slope-intercept form $y=mx+b$, substitute $m=1$ and $(7,0)$:
$0=1\times7+b$
$b=0-7=-7$

Step3: Write final equation

Substitute $m=1$ and $b=-7$ into $y=mx+b$

Answer:

$y=x-7$