Question

Find the equation of the linear function x 1 2 3 4 y 1 6 11 16

Answer 1

We solve as follows:

*We determine first the slope (m), that is:

`m=(6-1)/(2-1)\Rightarrow m=5`

Now, using the slope and one point of the line, we replace in the following expression:

`y-y_1=m(x-x_1)`

We can use any point of the line, but I will be using the point (1, 1), that is:

`y-1=5(x-1)`

Now, we solve for y:

`\Rightarrow y-1=5x-5\Rightarrow y=5x-4`