Play any equation in standard form for the line that goes through (5,-3) with a slope of 2/5

Question

Play any equation in standard form for the line that goes through (5,-3) with a slope of 2/5

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Mia 1 week 2021-11-26T01:47:40+00:00 1 Answer 0

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    2021-11-26T01:49:10+00:00

    Answer:

    The standard form of the equation is y = (\frac{2}{5})x-5

    Step-by-step explanation:

    The point is given as (5, -3)

    Slope of the equation is 2/5.

    The POINT SLOPE form of an equation with slope m and point (x0,y0) is given as   y- y0 = m (x- x0)

    Here, the equation is given as :

    y - (-3) =  = \frac{2}{5}  (x-5)\\or, 5(y+3) = 2(x -5)\\\implies 5y + 15 =  2x -10\\or, 5y = 2x - 25\\or, y = \frac{2x}{5}-5

    Hence the standard form of the equation is y = (\frac{2}{5})x-5

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