Write an equation for the line with passing through ( -2, 9) and ( 1, 0)

Question

Write an equation for the line with passing through ( -2, 9) and ( 1, 0)

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RobertKer 1 year 2021-09-04T15:08:55+00:00 1 Answers 0 views 0

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    2021-09-04T15:09:57+00:00

    Answer:

    [tex]y=-3x+3[/tex]

    Step-by-step explanation:

    We start by finding the slope of the line, which is given by the formula:

    [tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

    The points (x1, y1) and (x2, y2) are represented by the pairs given: (-2, 9) and (1, 0). WE can substitute this in and simplify.

    [tex]m=\frac{0-9}{1-(-2)} =\frac{-9}{1+2} =\frac{-9}{3} =-3[/tex]

    Using the point-slope formula, [tex]y-y_{1} =m(x-x_{1} )[/tex], we can find the equation. We can substitute the point (-2, 9) for (x1, y1):

    [tex]y-9=-3(x+2)\\y-9=-3x-6\\y=-3x+3[/tex]

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