Question

The table below represents a linear function. Find the

value of y when x = 2.
- 2
0
4
6
y
4
8
16
20

Answer 1

y = 10x - 6

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.