Question

put the following equation of a line into slope - intercept form, simplifying all fractions. 12x - 20y = 60

Explanation:

Step1: Recall 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. We need to solve the equation $12x-20y = 60$ for $y$.

Step2: Isolate the $y$ - term

Subtract $12x$ from both sides of the equation:
$-20y=-12x + 60$

Step3: Solve for $y$

Divide each term in the equation by $-20$:
$y=\frac{-12x}{-20}+\frac{60}{-20}$

Step4: Simplify the fractions

Simplify $\frac{-12}{-20}=\frac{3}{5}$ and $\frac{60}{-20}=- 3$. So the equation becomes $y=\frac{3}{5}x-3$

Answer:

$y=\frac{3}{5}x - 3$