find the value of a such that the points (3,2) , (1,-4) and (a, 6) all lie on the same line.

Guest Jan 12, 2019

#1**+2 **

the slope of the two known points is (-4-2)/(1-3) or -6/-2 which is 3, and the slope of (a, 6) and (3, 2) must also be 3 for them to all be on the same line. the slope of those two points is (6-2)/(a-3), which must be 3, so 4/(a-3) is 3, and 4=3a-9, so 3a=13 and a=13/3.

HOPE THIS HELPED!

asdf335 Jan 12, 2019

#1**+2 **

Best Answer

the slope of the two known points is (-4-2)/(1-3) or -6/-2 which is 3, and the slope of (a, 6) and (3, 2) must also be 3 for them to all be on the same line. the slope of those two points is (6-2)/(a-3), which must be 3, so 4/(a-3) is 3, and 4=3a-9, so 3a=13 and a=13/3.

HOPE THIS HELPED!

asdf335 Jan 12, 2019