Question

q.
-5x + 6y = 12
\\(y = \frac{5}{6}x + 2\\)

Explanation:

Step1: Isolate the y-term

Add $5x$ to both sides.
$$-5x + 6y + 5x = 12 + 5x$$
$$6y = 5x + 12$$

Step2: Solve for y

Divide all terms by 6.
$$y = \frac{5x}{6} + \frac{12}{6}$$
$$y = \frac{5}{6}x + 2$$

Answer:

The equation rewritten in slope-intercept form is $\boldsymbol{y = \frac{5}{6}x + 2}$