Determine the equation of the line that passes through the given points. (if you have a graphing calculator, you can use the table feature to confirm that the coordinates of both points satisfy your equation.)
(2, 6) and (4, 16)


You can write the equation in point-slope form, which has the format y-ysubscript1=m(x-xsubscript1), with ysubscript1 and xsubscript1 being the y and x coordinates for a point on the line, and m being the slope.

Substitute a y and x coordinate into the equation so you have y-6=m(x-2)

Then find the slope so you can replace m. The slope formula is (ysubscript2-ysubscript1)/(xsubscript2-xsubscript1). Substitute the coordinates in so you have m=(16-6)/(4-2), which simplifies to 10/2 and then 5.

Now the equation is y-6=5(x-2)

If you want a different form, for example slope-intercept form, you can change it to that:

y-6=5(x-2)

y=5x-4