Identify the equation that represents the data in the table. [x | y] [ -2 | 11 ] [ 0 | 5 ] [ 1 | 2 ] [ 3 | -4 ] y = x + 5 y = -3x + 5 y = -5x + 1 y = x + 13

The first thing you need to find is the slope. The slope formula can be thought as (the change in y values)/(the change in x values). So we can take two y values and find the difference.

11 - 5=6

Then we must take the two corresponding x values and find the difference of them as well.

-2 - 0 =-2

So by using the slope formula you can plug in the change in the y values over the change in x values and you come up with a slope of 6/-2 or -3.

Next you would need to find the y intercept. The y intercept is the y value that corresponds to when x=0. By looking in the table you can see that y is equal to 5 when x equals 0, so the y intercept is 5.

Finally you plug these values into the line formula.

y=mx+b

m=slope
b=y intercept

y=-3x+5 is the correct answer.