Question

Avery is programming her calculator to make a graph of the letter v. The points she uses for the left side of the letter are listed in the table below.

Answer 1

What is the question I don’t understand

Answer 2

The points are ( -4,6) , (-2,0) and (0,-6).

As we can see that as x value increases by 2 points , the y value correspondingly decreases by 6 points , constantly.

It means the date is linear.

So we can model the data using a linear model , or linear equation.

In the form y=mx+b

where , m is the slope of line and b is the y intercept .

y intercept is already given by the point (0,-6)

It means b=-6

to find the slope we use the formula

$m=\frac{(y_2 -y_1)}{(x_2-x_1)}= \frac{(-6-0)}{(0-(-2))} = \frac{-6}{2} = -3$

So m=-3

So we get the equation as

y=-3x-6

But she is using letter v

So the equation should be

v= -3x-6