Question

consider the following equation.
8y - 10 = -3(4 - 2x)
step 1 of 2: express the given equation in slope - intercept form. simplify your answer.
answer 2 points

Explanation:

Step1: Expand the right-hand side

$8y - 10 = -12 + 6x$

Step2: Isolate the y-term

$8y = 6x - 12 + 10$
$8y = 6x - 2$

Step3: Solve for y (slope-intercept form)

$y = \frac{6x}{8} - \frac{2}{8}$
$y = \frac{3}{4}x - \frac{1}{4}$

Answer:

$y = \frac{3}{4}x - \frac{1}{4}$