Question

Find the equation of the linear function

represented by the table below in slope-
intercept form.
X
у
-3
-6
1
1
-2
5
2
9
6

Answer 1

y = (7/4)x - 3/4

Explanation:

I'll assume that two points taken from your table are (-3, -6) and (1, 1).

As we move from the first to the second, x increases by 4 units ("run") and y increases by 7 units ("rise"). Thus the slope of the line connecting these two points is m = rise / run = 7/4.

Let's begin with the familiar y = mx + b. Substituting 1 for x and 1 for y and 7/4 for m, we get:

1 = (7/4)(1) + b, or 1 - 7/4 = b, or b = -3/4.

Then the desired equation, in slope-intercept form, is

y = (7/4)x - 3/4