Question

-20x + 22 = 2(2y+5). How would this be written in slope-intercept form?

A. y = -10x + 5
B. y = -10x + 12
C. y = 10x + 5
D. y = 10x + 12

Answer 1

After performing the necessary arithmetic operations to isolate y, the correct slope-intercept form of the given equation is y = -5x + 3, which does not match any of the options provided in the question.

Step-by-step explanation:

To convert the given equation -20x + 22 = 2(2y+5) to the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept, we need to isolate y on one side of the equation. Let's solve the equation step by step:

1. Distribute 2 on the right side of the equation: -20x + 22 = 4y + 10.
2. Subtract 10 from both sides: -20x + 12 = 4y.
3. Divide all terms by 4 to solve for y: y = -5x + 3.

This equation can now be compared to the options provided. The correct answer that matches y = -5x + 3 is not listed. None of the given options A, B, C, or D are correct. There may have been a mistake in formulating the question or potential options, as they do not include the correct slope-intercept form derived from the initial equation.