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 point (-6, 9) is also on the line. The line has a slope of . The line has a slope of . The line represents a direct variation function.

Answer 1

The point (-6, 9) is also on the line. False

The line has a slope of . (this statment is incomplete!)

The line has a slope of . (this statment is incomplete!)

The line represents a direct variation function. True ( y=2/3x )

Answer 2

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

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

"The line represents a direct variation function". True, as y = (2/3)x (which is a direct variation)

"The line has a slope of 2/3". True (as just proved by number one)

"The point (-6,9) is also on the line". Does y = (2/3) x 9 = (2/3) (-6) = -4?

No sir it does not so that's False.

Explanation: