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.

Hello from MrBillDoesMath!

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

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