Answer:
C. [tex]y = \frac{1}{3}x[/tex]
Step-by-step explanation:
All linear equations reflect that the line graph is the straight line.
The linear equation reflecting a straight line has the formula as following:[tex]y = a*x+b[/tex]
According to the table, the line graph cross four points: A (-3; -1); B(0;0); C(3;1); D(6;2), which means that the x, y of each point would fit the equation.
So that, we replace the x, y of each point in the equation and have:
1) -1 = a*-3 +b
2) 0 = b
3) 1 = a*3 + b
4) 2 = a*6 + b
From these 4 equations, it can be calculated that: a = 1/3; b = 0
So that the linear equation corresponds to the line graph is: [tex]y = \frac{1}{3}x[/tex]
