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Licemer1 [7]
1 year ago
15

Find the slope of the line through the given points.(-4,7) and (-1,-3)Is the slope increasing or decreasing?

Mathematics
1 answer:
galina1969 [7]1 year ago
4 0

• The following formula can be used to find the slope of a line:

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

These points are on the line:

(x_1,y_1);(x_2,y_2)

Given the following points:

\mleft(-4,7\mright);(-1,-3)

Then, you can set up that:

\begin{gathered} y_2=-3_{} \\ y_1=7 \\ x_2=-1 \\ x_1=-4 \end{gathered}

Therefore, substituting values into the formula and evaluating, you get:

\begin{gathered} m=\frac{-3-7}{-1-(-4)} \\  \\ m=\frac{-10}{-1+4} \\  \\ m=-\frac{10}{3} \end{gathered}

• As you can notice, the slope is negative. Therefore, you can determine that it is decreasing.

Therefore, the answers are:

• Slope of the line:

m=-\frac{10}{3}

• It is decreasing.

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