The slope of the line is: [tex]-\frac{3}{2}[/tex]
Recall:
Formula for slope = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let,
[tex](-2, 1) = (x_1, y_1)[/tex]
[tex](2, -5) = (x_2, y_2)[/tex]
Plug in the values into the formula:
[tex]Slope=\frac{-5 - 1}{2 - (-2)}[/tex]
[tex]Slope=\frac{-6}{4}\\= \frac{-3}{2}[/tex]
= [tex]-\frac{3}{2}[/tex]
The slope of the line through the points (-2, 1) and (2.-5) is [tex]-\frac{3}{2}[/tex]
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