Question

Is the relationship shown by the data linear? If so, model the data with an equation.

Answer 1

Yes, the relationship shown is linear. The equation of the line is y=-1.25x-13.25.

Explanation:

This data is linear as y decreases at a constant rate. The equation of a line is y=mx+b, where m=slope and b=y intercept

To find m:

m=
`(y2-y1)/(x2-x1)`

m=
`((-2)-(-7))/((-9)-(-5))`

m=
`(5)/(-4)`

m=
`-(5)/(4)`=-1.25

To find b, you can use any of the given points:

(-9,-2)

(-2)=-1.25(-9)+b

-2=11.25+b

-2-11.25=b

b=-13.25

Therefore, using the calculated values for m and b:

y=mx+b

y=-1.25x-13.25

Answer 2

The relation is linear

Explanation: