Question

What is the slope-intercept form of the equation 2x + 8y = 16?

(A) y = 2x + 2
(B) y = -2x + 2
(C) y = 2x - 8
(D) y = -2x - 8

Answer 1

The slope-intercept form of the equation 2x + 8y = 16 is found by isolating y and simplifying, resulting in (B) y = -2x + 2, where the slope (m) is -2 and the y-intercept (b) is 2.

Step-by-step explanation:

To convert the given equation 2x + 8y = 16 into slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept, follow these steps:

1. First, isolate the variable y on one side of the equation. Subtract 2x from both sides to get 8y = -2x + 16.
2. Next, divide the entire equation by 8 to solve for y. This gives us y = -¼x + 2.

Looking at the provided options, the correct slope-intercept form of the given equation is (B) y = -¼x + 2, which simplifies to (B) y = -2x + 2.