Question

A line passes through (2, 8) and (4, 12). Which equation best represents the line?

Answer 1

Y=2x+4. I plugged your coordinate points and it worked.

Answer 2

Answer:

$y=2x+4$

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.

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}\\m=\frac{12-8}{4-2}=\frac{4}{2}=2$

Now, we use the slope-point form

$y-y_{1}=m(x-x_{1})\\y-8=2(x-2)\\y=2x-4+8\\y=2x+4$

Therefore, the right answer is the third choice

$y=2x+4$