Question

put the following equation of a line into slope-intercept form, simplifying all fractions. 5y - 6x = 5

Explanation:

Step1: Isolate the y-term

Add $6x$ to both sides.
$5y = 6x + 5$

Step2: Solve for y

Divide all terms by 5.
$y = \frac{6}{5}x + \frac{5}{5}$

Step3: Simplify the constant term

Reduce the fraction $\frac{5}{5}$ to 1.
$y = \frac{6}{5}x + 1$

Answer:

$y = \frac{6}{5}x + 1$