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

Answer:

$\frac{3}{2}$

Step-by-step explanation:

The slope formula is:

$m=\frac{\text{rise}}{\text{run}} =\frac{y_2-y_1}{x_2-x_1}$

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

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

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

The slope of the function should be $\frac{3}{2}$.