24.6k views
0 votes
Select the boxes of the correct answers. If a line is a direct variation passing through point C, find two additional points that lie on the same line. 6 -5 4 3 -2 1 -6 -5 -4 -3 -2 -1 0 2 3 5 --2

Select the boxes of the correct answers. If a line is a direct variation passing through-example-1
User Ilhnctn
by
8.1k points

1 Answer

3 votes

In a direct variation, y varies proportional to x, then they are represented with the general formula:

y=kx

Direct variations always pass through the origin, then, the point (0,0) always lies on the line.

Point C is located at (-4,5), then we can find the value of k from the above equation like this:

y=kx

y/x=kx/x

y/x=k

k=y/x

replacing the x and y coordinates:

k=5/-4= -5/4

Then, to know if a point lies on the line that passes through the point C, we just have to divide its y coordinate by its x coordinate and the result must be -5/4, otherwise, the point doesn't belong to the line.

From the given options, the only point that when we take its y and x coordinates and then we make y/x gives us -5/4 is the point (4,-5).

Then, points (0,0) and (4,-5) are the only points that lie on the line.

User Lael
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.