Which is an equation in point-slope form of the line that passes through the points (4, 5) and (−3, −1) ?

Question

Which is an equation in point-slope form of the line that passes through the points (4, 5) and (−3, −1) ?

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    0
    2021-09-08T23:35:46+00:00

    slope = (y2-y1)/(x2-x1)

    m =(-1-5)/(-3-4)

    m =(-6)/(-7)

    m=6/7

    point slope form

    y-y1 = m(x-x1)

    y-5 = (6/7) (x-4)

    0
    2021-09-08T23:36:23+00:00

    The slope-point form:

    y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

    We have two points (4, 5) and (-3, -1). Substitute:

    m=\dfrac{-1-5}{-3-4}=\dfrac{-6}{-7}=\dfrac{6}{7}

    For point (4, 5):

    y-5=\dfrac{6}{7}(x-4)

    For point (-3, -1):

    y-(-1)=\dfrac{6}{7}(x-(-3))\\\\y+1=\dfrac{6}{7}(x+3)

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