Question

2. A table of values for a linear function is shown below.

Answer 1

m = -5/2 (option J)

Step-by-step explanation:

To find the slope, we would apply the formula:

`m\text{ = }(y_2-y_1)/(x_2-x_1)`
`\begin{gathered} we\text{ pick any two points on the table:} \\ u\sin g\text{ points: (-6, 21) and (-3, 13.5)} \\ x_1=-6,y_1=21,x_2=-3,y_2\text{ = 1}3.5 \end{gathered}`
`\begin{gathered} m\text{ = }\frac{13.5\text{ - 21}}{-3-(-6)} \\ m\text{ = }\frac{13.5\text{ - 21}}{-3+6} \\ m\text{ = }(-7.5)/(3) \\ m\text{ = -2.5} \\ m\text{ = }(-25)/(10) \\ m\text{ = -5/2 (option J)} \end{gathered}`