Write the equation of the line that passes through the points (-3,-8) and (6,-4). Put your answer in fully reduced point-slope form, u

Question

Write the equation of the line that passes through the points (-3,-8) and (6,-4).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

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Thiên Thanh 6 months 2021-08-15T03:54:56+00:00 1 Answers 7 views 0

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    2021-08-15T03:56:10+00:00

    Answer:

    The equation in point-slope form is: \mathbf{y+8= \frac{4}{9}(x+3)}

    Step-by-step explanation:

    Write the equation of the line that passes through the points (-3,-8) and (6,-4)

    The point slope form is: y-y_1=m(x-x_1)

    Where m is slope and x₁ and y₁ are the points given

    Finding Slope

    Slope can be found of given points using formula: Slope=\frac{y_2-y_1}{x_2-x_1}

    We have x_1=-3, y_1=-8, x_2=6 \ and \ y_2=-4

    Putting values and finding slope

    Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-4-(-8)}{6-(-3)}\\Slope=\frac{-4+8}{6+3}\\Slope=\frac{4}{9}

    So, slope m = 4/9

    Using point (-3,-8) and slope m = 4/9 the equation is:

    y-y_1=m(x-x_1)\\y-(-8)=\frac{4}{9}(x-(-3))\\y+8= \frac{4}{9}(x+3)\\

    So, the equation in point-slope form is: \mathbf{y+8= \frac{4}{9}(x+3)}

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