The slope is the rise over the run, the change in the y values over the
change in the x values. We see that y is increasing at a constant rate
of 12, while x is increasing at a constant rate of 6. Rise over run
gives you the "fraction" 12
-----
6
which, when you divide out, gives you a slope of +2.
--------------------------------------------------------------------------------------------------
So far you have the y = 2x ____
---------------------------------------------------------------------------------------------------
remember that the y-intercept exists where x = 0. Even though you don't
have an x value of 0 in your table, you can easily figure it out by
following the pattern of growth in your x and y values. The value above
the 6 in the x column would be 0, because, following the pattern, if 0
is above the 6 and we are adding 6 to each value to get to the next one,
0 + 6 = 6, which is the first value in the chart. So if x = 0, we need
to find y. following the pattern in the same way, we have the value
above the -36 being -48.
-----------------------------------------------------------------------------------------------------
So the answer would be..
-----------------------------------
y = 2x – 48
