Question

Jeremy graphed the following equation using the slope and y-intercept. Which shows the point where he started and how he moved?

\(y = -\frac{2}{3}x - 5\)

A) Jeremy started at the point (0, -5) and moved to the right and upward.

B) Jeremy started at the point (0, -5) and moved to the left and downward.

C) Jeremy started at the point (0, -5) and moved to the right and downward.

D) Jeremy started at the point (0, -5) and moved to the left and upward.

Answer 1

Jeremy graphed y = -\frac{2}{3}x - 5 starting at the y-intercept (0, -5). With a negative slope of -\frac{2}{3}, for every 3 units right, he moved 2 units down.

This correct answer is C)

Step-by-step explanation:

The equation given is y = -\frac{2}{3}x - 5. This equation is in slope-intercept form, where the slope (m) is -\frac{2}{3} and the y-intercept (b) is -5.

Therefore, Jeremy would start at the y-intercept, which is the point (0, -5).

Since the slope is negative, as he moves to the right (positive direction along the x-axis), he would move downward (negative direction along the y-axis) because the slope indicates that for every 3 units he moves to the right, he should move 2 units down.

Thus, the correct answer is C) Jeremy started at the point (0, -5) and moved to the right and downward.

This correct answer is C)