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# What is the slope of a line that passes through (-2, 2) and (-4, 5)?

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What is the slope of a line that passes through (-2, 2) and (-4, 5)?

Aug 20, 2015

#1
+24093
+3

What is the slope of a line that passes through (-2, 2) and (-4, 5) ?

$$\\x_1=-2,~y_1=2 \\ x_2 = -4,~y_2=5\\\\ m=\dfrac{y_2-y_1}{x_2-x_1}\\\\ m=\dfrac{5-2}{(-4)-(-2)}\\\\ m=\dfrac{5-2}{(-4)+2}\\\\ m=\dfrac{5-2}{2-4}\\\\ m=\dfrac{3}{-2}\\\\ m=-\dfrac{3}{2}\\\\ \mathbf{m=-1.5}$$

Aug 20, 2015

#1
+24093
+3
$$\\x_1=-2,~y_1=2 \\ x_2 = -4,~y_2=5\\\\ m=\dfrac{y_2-y_1}{x_2-x_1}\\\\ m=\dfrac{5-2}{(-4)-(-2)}\\\\ m=\dfrac{5-2}{(-4)+2}\\\\ m=\dfrac{5-2}{2-4}\\\\ m=\dfrac{3}{-2}\\\\ m=-\dfrac{3}{2}\\\\ \mathbf{m=-1.5}$$