Question

Without graphing , calculate the slope between the two points(4,19 and (2,5)

Answer 1

slope=-2

Step-by-step explanation

Step 1

the slope of the line between the points P1 and P2 is given by:

`\begin{gathered} \text{slope}=(y_2-y_1)/(x_2-x_1) \\ \text{where} \\ P1(x_1,y_1)andP2(x_2,y_2) \end{gathered}`

Let

P1(4,1)

P2(2,5)

Step 2

replace,

`\begin{gathered} \text{slope}=(y_2-y_1)/(x_2-x_1) \\ \text{slope}=(5-1)/(2-4) \\ \text{slope}=(4)/(-2) \\ \text{slope}=-2 \end{gathered}`

Hence, the answer is -2

I hope this helps you