Answer:
[tex]y=2x+4[/tex]
Step-by-step explanation:
To find the best equation that passes through points (2,8) and (4,12), we have to first find the slope of such line, and then using the point-slope formula, we will find the expression.
So, for the slope, we use both points.
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}\\m=\frac{12-8}{4-2}=\frac{4}{2}=2[/tex]
Now, we use the slope-point form
[tex]y-y_{1}=m(x-x_{1})\\y-8=2(x-2)\\y=2x-4+8\\y=2x+4[/tex]
Therefore, the right answer is the third choice
[tex]y=2x+4[/tex]
