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

Answer 1

The correct answer should be both of these:

1. The line has a slope of 2/3

2. The line represents a direct variation function.

I just had this question so my answer should be right,

I hope this helps you. :)

Answer 2

The line represents a direct variation function.

Explanation:

This line would cross the point (0, 0) making it a direct variation function.

We know the line would cross (0, 0) because the slope of the line is 2/3 (change in y over change in x, so 4-2 over 6-3 which simplifies to 2/3). From the point (3, 2), we can use the slope to calculate backwards to the origin.