How do you write the equation of a line if you know two points that are on the line?

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How do you write the equation of a line if you know two points that are on the line?

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    0
    2021-09-09T18:04:08+00:00

    To write a equation of a line if you know two points that are on the line, you would first have to find the slope using the formula:

    (y2 – y1) / (x2 – x2)

    This would help you find the slope

    You should always know that the standard form is y = mx + b

    m = slope

    plug in 2 of your points to the x and y values with your x like this:

    (one y point) = (slope) (one x point) + b

    This would help you to find the b of the equation

    now you can write your equation like this:

    y = (slope)x + (y – intercept you just found)

    Here is a example using the points (1,2), (4,3)

    Find your slope:

    (3-2) / (4 – 1) =

    1/3 = m(slope)

    Now plug (I would be using points (1,2):

    2 = 1/3(1) + b

    2 = 1/3 + b

    1 2/3 = b

    Now you found your y – intercept:

    y = 1/3m + 1 2/3

    0
    2021-09-09T18:04:33+00:00

    y= mx +b,  where m is considered the slope. Hope this helps.

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