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levacccp [35]
8 months ago
13

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

Mathematics
1 answer:
EleoNora [17]8 months ago
6 0

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}

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