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find the slope for the line with points (1,-9) and (4,15)

Sagot :

slope=8

Explanation

Step 1

if you have two points of a line P1 and P2, the slope is given by:

[tex]\begin{gathered} \text{slope=}\frac{y_2-y_1}{x_2-x_1} \\ \text{where} \\ P1(x_{1,}y_1)andP2(x_{2,}y_2)_{} \end{gathered}[/tex]

let

P1(1,-9)

P2(4,15)

Step 2

replace

[tex]\begin{gathered} \text{slope=}\frac{y_2-y_1}{x_2-x_1} \\ \text{slope=}\frac{15-(-9)}{4-1} \\ \text{slope}=\frac{15+9}{3} \\ \text{slope=}\frac{24}{3} \\ \text{slope}=8 \end{gathered}[/tex]

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