Question

Given the equation 8x = 4y + 16, generate a plan to rewrite it in slope-intercept form. Which variable do you solve for?

A) Solve for x
B) Solve for y
C) Solve for 8x
D) Solve for 4y

Answer 1

To convert 8x = 4y + 16 into slope-intercept form, we solve for y by first subtracting 16 from both sides, then dividing each term by 4, yielding y = 2x - 4 with a slope of 2 and a y-intercept of -4.

Step-by-step explanation:

To rewrite the equation 8x = 4y + 16 in slope-intercept form, we need to solve for y, because the slope-intercept form is y = a + bx, where a is the y-intercept and b is the slope. Here's a step-by-step plan to solve for y:

1. First, subtract 16 from both sides of the equation to get 8x - 16 = 4y.
2. Next, divide every term by 4 to isolate y on one side of the equation, resulting in 2x - 4 = y or y = 2x - 4.

Now, the equation is in slope-intercept form, with the slope b being 2 and the y-intercept a being -4.