Question

Select all that apply. Given the points (3, 2) and (6, 4), which of the following are true about the line passing through these points? The line has a slope of 3/2 . The line represents a direct variation function. The line has a slope of 2/3 . The point (-6, 9) is also on the line.

Answer 1

The line has a slope of 2/3.

The line represents a direct variation function.

Explanation:

Answer 2

Hello from MrBillDoesMath!

Answer:

See discussion below

Discussion:

Slope of the line through the points (3,2), (6,4) is

(4-2)/(6-3) = 2/3

a. "The line has a slope of 3/2". False, the slope is 2/3 not 3/2

b. True, as y = (2/3)x (which is a direct variation)

c. "The line has a slope of 2/3". True

d. "The point (-6,9) is also on the line" Let's check. Does

y = (2/3) x

9 = (2/3) (-6) = -4 ?

No, so the above statement is False.

Thank you,

MrB