Question

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

y = 1 over 2 x + 6
y = 2x + 7
y = 2x + 4
y = 1 over 2 x + 10

Answer 1

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

Answer 2

`y=2x+4`

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=(y_(2)-y_(1) )/(x_(2)-x_(1))\\m=(12-8)/(4-2)=(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`