Question

Complete the equation describing howx and y are related.хo1234у-1371115y = [ ? ]x + [ ]Enter the answer that belongs in [?].

Answer 1

The equation of a line is :

`y=mx+b`

where b is the y intercept and m is the slope. To find the slope we need to use the formula:

`m=(y_2-y_1)/(x_2-x_1)`

Using the first two points on the table, we have:

`m=(3-(-1))/(1-0)=(3+1)/(1)=(4)/(1)=4`

From the table we notice that b=-1 (the y-intercept happens when x=0).

Therefore the equation of the line is:

`y=4x-1`