Question

Find the equation of the linear function x 1 2 3 4 y -3 -7 -11 -15

Answer 1

We will find first the slope(m) using two pairs of points that belong to the line, that is:

`m=(-7-(-3))/(2-1)\Rightarrow m=-4`

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

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

We can use any point from the line, in our case I will use the point (1, -3), that is:

`y-(-3)=-4(x-1)`

Now, we proceed to solve for y:

`\Rightarrow y+3=-4x+4\Rightarrow y=-4x+1`

So, the equation of the linear function is:

`y=-4x+1`