Question

Did the boys' teacher make a mistake in approving both equations? Explain.

a. Yes, because their equations have different slopes.
b. No, because their equations have the same y-intercept.
c. Yes, because their equations are not in slope-intercept form.
d. No, because their equations both pass through the same point.

Answer 1

The boys' teacher made a mistake in approving both equations because their equations have different slopes.

Step-by-step explanation:

The correct answer is a. Yes, because their equations have different slopes.

When comparing two linear equations, the slope of the lines is an important factor. If the slopes are different, the lines will never intersect and the solution to the system of equations will be inconsistent.

Therefore, the boys' teacher made a mistake in approving both equations because their equations have different slopes.