Question

can you help me with number four it says the points given in each table lie on a line find the slope of the line then graph the line

Answer 1

From the given table there are 4 points

(-1, -2), (1, 0), (3, 2), (5, 4)

The rule of the slope of the line that passes through the points

`(x_{1_{}},y_1),(x_2,y_2)`

is

`m=(y_2-y_1)/(x_2-x_1)`

Let us choose any two points and use them

Let

`\begin{gathered} (x_1,y_1)=(1,0) \\ (x_2,y_2)=(3,2) \end{gathered}`

Substitute them in the rule above

`\begin{gathered} x_1=1,x_2=3 \\ y_1=0,y_2=2 \\ m=(2-0)/(3-1) \\ m=(2)/(2) \\ m=1 \end{gathered}`

The slope of the line is 1

Let us plot the given points on the graph

Join the 4 points to get the line