Question

write your answer using integers, proper fractions, and improper fractions in si form.

Explanation:

Step1: Identify two points

The line passes through \((-8, 0)\) and \((0, 1)\) (y - intercept is 1).

Step2: Calculate the slope

Slope \(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{1 - 0}{0 - (-8)}=\frac{1}{8}\).

Step3: Use slope - intercept form

The slope - intercept form of a line is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept. Here, \(m=\frac{1}{8}\) and \(b = 1\). So the equation is \(y=\frac{1}{8}x + 1\).

Answer:

\(y=\frac{1}{8}x + 1\)