Question

Two points defining a linear function are shown in the table below. x y –14 –18 –10 –12 What is the slope of the function? 2/3 3/2 2 6

Answer 1

`(3)/(2)`

Explanation:

The slope formula is:

`m=\frac{\text{rise}}{\text{run}} =(y_2-y_1)/(x_2-x_1)`

We are given the points (-14,-18) and (-10,-12) .

`(x_1,y_1)\rightarrow(-14,-18)\\(x_2,y_2)\rightarrow(-10,-12)`

`m=(-12-(-18))/(-10-(-14))=(-12+18)/(-10+14)=(6)/(4) =(6/2)/(4/2)=\boxed{(3)/(2)}`

The slope of the function should be
`(3)/(2)`.