Question

Find the slope of the line that passes through (54, -61) and (8, -56).

Answer 1

The slope m of the line that passes through the two given points is;

`m=-(5)/(46)`

Step-by-step explanation:

We want to calculate the slope of the line that passes through the given point;

`(54,-61)\text{ and }(8,-56)`

Recall that the slope formula can be written as;

`m=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1)`

substituting the given points;

`\begin{gathered} (x_1,y_1)=(54,-61) \\ (x_2,y_2)=(8,-56) \end{gathered}`

We have;

`\begin{gathered} m=(-56-(-61))/(8-54)=(5)/(-46) \\ m=-(5)/(46) \end{gathered}`

Therefore, the slope m of the line that passes through the two given points is;

`m=-(5)/(46)`