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

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

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

$\begin{gathered} x_1=1,x_2=3 \\ y_1=0,y_2=2 \\ m=\frac{2-0}{3-1} \\ m=\frac{2}{2} \\ m=1 \end{gathered}$

The slope of the line is 1

Let us plot the given points on the graph

Join the 4 points to get the line