Question

A student is having trouble finding the slope between these two points (3,5) and (6,9). Use the point-slope formula to find the slope and EXPLAIN how you got the answer.

a) Slope = (9 - 5) / (6 - 3) = 4/3. I subtracted the y-coordinates and divided by the difference in x-coordinates.
b) Slope = (5 - 9) / (3 - 6) = -4/3. I subtracted the y-coordinates and divided by the difference in x-coordinates.
c) Slope = (9 - 5) / (3 - 6) = 4/(-3). I subtracted the y-coordinates and divided by the difference in x-coordinates.
d) Slope = (5 - 9) / (6 - 3) = -4/3. I subtracted the y-coordinates and divided by the difference in x-coordinates.

Answer 1

The slope between the points (3,5) and (6,9) is 4/3. Hence, option a) is correct.

Step-by-step explanation:

The correct answer is a) Slope = (9 - 5) / (6 - 3) = 4/3. To find the slope using the point-slope formula, we subtract the y-coordinates of the two points and divide by the difference in their x-coordinates.

In this case, we subtract 5 from 9, which gives us 4, and divide it by the difference of 3 and 6, which is -3.

Therefore, the slope is 4/3.