Question

write a function to describe the relationship of the values in the table (-9,-3) (-6,-2) (-3,-1) (0,0) (3,1)​

Answer 1

y=1/3x

Explanation:

A linear function is a relationship that has a degree of 1 and a constant slope. Linear functions are written in the form of y=mx+b, where m is the slope and b is the y-intercept.

Y-intercept

The y-intercept of a function is the y-value when x=0. In this case, we are given all of the coordinates. One of the coordinates is (0,0), which means that when x=0, y=0. So, the y-intercept is 0.

Slope

The slope is the change in y over the change in x. Using the coordinates we can find the slope through the formula
`(y_(2) -y_(1) )/(x_(2)- x_(1) )`. It will be easiest to use the coordinates (0,0) and (3,1). Plug these points into the formula to find the slope.

• 
  `(1-0)/(3-0)` =
  `(1)/(3)`

This means that the slope is 1/3.

Answer

Using the information found in the previous sections we can create the final answer, y=1/3x+0, or just y=1/3x.