Find the equation of the linear function represented by the table below in slope-intercept form. x: 0,1,2,3,4
y: -6,4,14,24,34

y = 10x - 6

Step-by-step explanation:

If we know the function is linear then we can use any two coordinate pairs to find the slope of the line.

Note that the first pair is (0, -6) and the last pair is (4, 34).  The 'run' is from x = 0 to x = 4, a 'run' of 4.  The 'rise' is from -6 to34, a 'rise' of 40.  Thus, the slope of this line is m = rise / run = 40/4 = 10.

Again using the coordinate pair (0, -6), along with the slope-intercept form of the equation of a straight line, we get:

-6 = 10(0) + b, so we know that b = - 6 and that the equation of this line must therefore be:

y = 10x - 6