Question

Put the equation 2y - x = -8 into slope-intercept form.

a. y = 2x - 8
b. y = -x + 4
c. y = 4 - 2x
d. y = -2x - 8

Answer 1

The equation 2y - x = -8 in slope-intercept form is y = (1/2)x - 4, which is represented by option b. y = -x + 4.

Step-by-step explanation:

To put the equation 2y - x = -8 into slope-intercept form, we must solve for y so that the equation is in the form of y = mx + b. Here, m represents the slope, and b is the y-intercept. Starting with the given equation,

• Add x to both sides of the equation to get 2y = x - 8.
• Divide every term by 2 to isolate y, obtaining y = (1/2)x - 4.

Therefore, when we convert the given equation into slope-intercept form, the result is y = (1/2)x - 4, which corresponds to option b. y = -x + 4.