Given the points (3, 2) and (6, 4), which of the following are true about the line passing through these points?

Question

asked Aug 16, 2019 93.5k views

2 Answers

Zerokavn · Answer 1 · 2019-08-17T13:05:45+0000

I don't know what 'which of the following' is referring to, but the line has a positive slope, goes through the origin, and has a slope of 2/3.

Wohlstad · Answer 2 · 2019-08-23T10:32:07+0000

Given the points are A(3, 2) and B(6, 4).

If it is asking about the slope of the line AB, then we can use the slope formula as given by :-

$Slope, \;m = (y_(2)-y_(1))/(x_(2)-x_(1))$

where (x₁, y₁) = A(3, 2) and (x₂, y₂) = B(6, 4)

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

Hence, m = 2/3 would be slope of the line AB.

If it is asking about the y-intercept of the line AB, then we can use slope-intercept form as given by :-

y = mx + b

where m is the slope and b is the y-intercept.

we can plug the value of m = 2/3 and point A(3, 2) into the equation and solve for b.

Hence, b = 0 would be y-intercept of the line AB.

If it is asking for the equation of the line AB, then we can use slope-intercept form and put values of m = 2/3 and b = 0.

y = mx + b

Hence,
$y=(2)/(3) x \;\; or\;\; 3y=2x$ would be equation of the line AB.