Question

What is the slope-intercept form of the function described by this table?

x 1 2 3 4
y 2 7 12 17





y = x +

Answer 1

For every change of x by 1, y increases by 5.

So the gradient of the line is 5.

To find the y-intercept:

y = mx + c
2 = 5(1) + c
2 = 5 + c
c = -3

So the equation of the line is y = 5x - 3