Question

Yeah These points are linear.Find the slope.x-2-1 0 1 1 2y -7 0 7 14 21slope = [?]-

Answer 1

slope=7

Step-by-step explanation

the slope of a line ( or segment) is given by

`\begin{gathered} \text{slope}=\frac{\text{ change in y }}{\text{ change in x}}=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1) \\ \text{where} \\ P1(x_1,y_1)\text{ } \\ \text{and} \\ P2(x_2,y_2) \\ \text{are 2 points from the line} \end{gathered}`

so

Step 1

Let

`\begin{gathered} P1(0,7) \\ P2(2,21) \end{gathered}`

now,replace in the formula

`\begin{gathered} \text{slope}=(y_2-y_1)/(x_2-x_1) \\ \text{slope}=(21-7)/(2-0)=(14)/(2)=7 \end{gathered}`

therefore, the slope is 7

I hope this helps you