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Write an equation of a line in point- slope form for the line that passes through A(-2, -2) and B(4,1)

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AlgebraicAardvark

Step 1: Find the slope using [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]:

    [tex]m= \dfrac{1-(-2)}{4-(-2)} = \dfrac{3}{6} = \dfrac{1}{2}[/tex]

Step 2: Plug the slope and one-point into point-slope form [tex]y-y_1 = m(x-x_1)[/tex]:

Let's use (4,1) since there's no negative involved.  That makes it easier:

    [tex]y-1 = \frac{1}{2}(x-4)[/tex]

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