Can someone help me on #15, will give it to the braniest.

The points option A) (4,-5) and option C) (2,1) lies on the line m.

Step-by-step explanation:

The given equation of the line is

The general equation of the line is

where,

From the given equation,

It can be found that the slope of the line, m is -2/3.

The line is parallel to the given line. Therefore, their slopes are equal.

Since the two lines are parallel, their slope is also same.

The line passes through the point (-1,3).

To find the slope :

Slope =

Now, let's check the each options to find the slope is same or not.

Option A) is (-4,5) and the given point is (-1,3)

Slope =

⇒ slope =  -2/3

Therefore, the point (-4,5) could also be on the line m.

Option B) is (-3,6) and the given point is (-1,3)

Slope =

⇒ slope =  -3/2

The point (-3,6) cannot be on the line m.

Option C) is (2,1) and the given point is (-1,3)

Slope =

⇒ slope =  -2/3

Therefore, the point (2,1) could also be on the line m.

Option D) is (3,-2) and the given point is (-1,3)

Slope =

⇒ slope =  -5/4

The point (3,-2) cannot be on the line m.

Option E) is (6,-3) and the given point is (-1,3)

Slope =

⇒ slope =  -6/7

The point (6,-3) cannot be on the line m.

true

step-by-step explanation: