Question

Determine the slope of the line passing through the points (5,6) and (-5,-1)m=____

Answer 1

GIVEN:

We are given two points on a line and these are;

`A=(5,6),\text{ }B=(-5,-1)`

Required;

We are required to determine the slope of the line passing through these points.

Step-by-step solution;

The slope of a line is given by the formula;

`m=(y_2-y_1)/(x_2-x_1)`

The variables are;

`\begin{gathered} (x_1,y_1)=(5,6) \\ \\ (x_2,y_2)=(-5,-1) \end{gathered}`

We can now substitute these into the formula and then simplify;

`\begin{gathered} m=(-1-6)/(-5-5) \\ \\ m=(-7)/(-10) \\ \\ m=(7)/(10) \end{gathered}`

ANSWER:

The slope of the line passing through the given points is;

`m=(7)/(10)`