What is the equation that represents the relationship between the x and y values in the table? (Write in
y=mx+b form. You may use the fraction or decimal equivalent values.)
X
y
5
4
2
6
0
First, find m, the rate of change. This is a comparison of how the y values are changing compared to the x
values. In math this would look like
m===
Select two points (rows) of your choice and substitute the values to find m. Be careful when using negative
values.
m
-4
-2
2
Next, find b, the y-intercept. This is where the graphed line crosses they-axis, meaning the y-value when x is
0. If you look at the table given, we do not have an x value of 0. We have a few choices as to how we calculate
b.
Option 1: if you found mabove, use this rate of change to lead to x being zero. The numerator tells us how
the y values change, the denominator tells us how the x values change.
Option 2*: if you found mabove, substitute that value along with one of the coordinates in the table (row) into
the form y=mx+b, and then solve for b.
Pick your strategy and then enter the value here. b-
Now, put it all together. Use the mand bvalues you found above and type your equation in y=mx+b form. (do
not put any spaces).