Question

Select all that apply. A direct variation equation is graphed. The point (6, 4) is on the graph. Which of the following points are also on the graph of the equation? (3, 2) (-9, -6) (-12, 8) (-6, -3)

Answer 1

Answer:

(3,2)

(-9,-6)

Step-by-step explanation:

Given that the graph is a direct variation.

The equation of variation is:

$x=ky$

Since point (6, 4) is on the graph

$6=4k\\\\k=\dfrac64$

Therefore, the equation connecting x and y is:

$x=\dfrac64y$

$\text{When y=2},x=\dfrac64 \times 2 =3\\\\\text{When y =}-6,x=\dfrac64 \times -6 =-9\\\\\text{When y =}8,x=\dfrac64 \times 8 =12\\\\\text{When y =}-3,x=\dfrac64 \times -3 =-4.5$

Therefore, the points that are also on the graph are:

(3,2) and  (-9,-6)