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;

$m=\frac{y_2-y_1}{x_2-x_1}$

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;

$\begin{gathered} m=\frac{-1-6}{-5-5} \\ \\ m=\frac{-7}{-10} \\ \\ m=\frac{7}{10} \end{gathered}$

ANSWER:

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

$m=\frac{7}{10}$