Question

The slope of a line between point A and point B is -2/3. Jake used 2 different points on the line to find the slope. Which of the following could possibly be an answer that Jake could get?

A. -4/6
B. 3/2
C. 2/3
D. -5/6

Answer 1

If the slope of a line between point A and point B is -2/3, Jake could get an answer of -4/6.

Step-by-step explanation:

If the slope of a line between point A and point B is -2/3, Jake could get an answer of -4/6. To find the slope, we can use the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. Let's say Jake used point A (x1, y1) = (1, 2.6) and point B (x2, y2) = (4, 4.6). Plugging these values into the slope formula, we get (-2/3) = (4.6 - 2.6) / (4 - 1). Solving for the difference in y-coordinates, (y2 - y1), we get 2, and for the difference in x-coordinates, (x2 - x1), we get 3. Therefore, the slope Jake could get is -4/6.