Given the point (1, 3) and a slope of 2, write an equation in point-slope form.

Question

Given the point (1, 3) and a slope of 2, write an equation in point-slope form.

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Josephine 2 weeks 2021-11-19T11:09:42+00:00 1 Answer 0 views 0

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    2021-11-19T11:11:16+00:00

    Answer:

    y=2x+1

    Step-by-step explanation:

    Since we are given a point and a slope, we can use the point slope formula

    y-y_{1} =m(x-x_{1})

    m is the slope. In this case, m is 2.

    y1 is the y coordinate of the point given. y1 is 3.

    x1 is the x coordinate of the point given. x1 is 1

    y-3=2(x-1)

    Now, we need to get the equation into point slope form: y=mx+b

    To do this, we need to get y by itself

    First, distribute the 2 on the right

    y-3=2*x+ 2*-1

    y-3=2x-2

    Add 3 to both sides

    y-3+3=2x-2+3

    y=2x+1

    The equation is in y=mx+b form, so our final equation is:

    y=2x+1

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