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Determine the slope and y-intercept of the line represented by the linear equation: 2y + 4 = 0.

a. Slope: -2, Y-intercept: -4
b. Slope: -2, Y-intercept: 2
c. Slope: 2, Y-intercept: -4
d. Slope: 2, Y-intercept: 4

1 Answer

1 vote

Final answer:

The equation 2y + 4 = 0, when rewritten in the slope-intercept form, indicates that the slope (m) is 0 and the y-intercept (b) is -2. The correct answer is not provided in the student's options as they contain an error.

Step-by-step explanation:

The linear equation provided is 2y + 4 = 0. To find the slope and y-intercept, we need to rewrite this equation in the slope-intercept form of y = mx + b, where m represents the slope and b represents the y-intercept. First, let's isolate y by subtracting 4 from both sides and then dividing by 2:

2y = -4

y = -2

In this form, it's clear that the slope m is 0 (since there is no x-term) and the y-intercept b is -2. Therefore, the correct answer is the slope is 0 and the y-intercept is -2, which is not listed among the options provided by the student. There seems to be an error in the multiple choice options given.

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