Question

rewrite the following equation in slope-intercept form.

x - 18y = 18

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

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is $y=mx + b$, where $m$ is the slope and $b$ is the y - intercept. We need to solve the given equation $x-18y = 18$ for $y$.

Step2: Isolate the term with y

Subtract $x$ from both sides of the equation:
$-18y=-x + 18$

Step3: Solve for y

Divide each term in the equation $-18y=-x + 18$ by $-18$:
$y=\frac{-x}{-18}+\frac{18}{-18}$

Simplify each fraction:
$y=\frac{1}{18}x-1$

Answer:

$y=\frac{1}{18}x - 1$