Question

the table and a graph both represents the same relationship. Which equation also represents that relationship?

Answer 1

Y = 2x can also represent the relationship

Answer 2

Answer with explanation:

The line in two variables passes through four given points, (0,0), (2,4), (4,8) and (6,12).

To find the equation of line passing through two points,

$(x_{1},y_{1}), \text{and},(x_{2},y_{2}) \text{is given by}\\\\\rightarrow \frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\ \frac{y-0}{x-0}=\frac{4-0}{2-0}\\\\ \frac{y}{x}=2\\\\y=2 x$

Option B: y= 2 x