Question

For items 2 and 3 use the table to calculate the slope

Answer 1

Answer:

Slope = -6

Explanations:

The slope of a linear graph is given by the formula:

`\text{Slope = }(y_2-y_1)/(x_2-x_1)`

Note that the slope of a linear graph is the same at any two points on the graph

Cosidering the first two rows of the table

`x_1=-4,y_1=20,x_2=-3,y_2=\text{ 14}`
`\begin{gathered} Slope\text{ = }(14-20)/(-3-(-4)) \\ \text{Slope = }(-6)/(-3+4) \\ \text{Slope = }(-6)/(1) \\ \text{Slope = -6} \end{gathered}`

Considering the last two rows of the table

`\begin{gathered} x_1=0,y_1=-4,x_2=2,y_2=-\text{ 16} \\ \text{Slope = }(-16-(-4))/(2-0) \\ \text{Slope = }(-16+4)/(2) \\ \text{Slope = }(-12)/(2) \\ \text{Slope = -6} \end{gathered}`