Question

Question 4808: Which two points lie on a line with slope 2/3?

a) (3, 5) and (6, 7)
b) (0, 0) and (2, 3)
c) (-1, 4) and (2, 2)
d) (-2, -3) and (1, 1)

Answer 1

The two points that lie on a line with slope 2/3 are (3, 5) and (6, 7).

Step-by-step explanation:

To find the slope between two points, we can use the formula:

slope = (change in y) / (change in x)

Let's take option a) (3, 5) and (6, 7) as our points. The change in y is 7 - 5 = 2, and the change in x is 6 - 3 = 3. Plugging these values into the formula, we get:

slope = 2/3

Since the slope matches, the answer is option a) (3, 5) and (6, 7).