Find Slope of the Line

Discussion in 'Algebra' started by nycmathguy, Oct 25, 2021.

  1. nycmathguy

    nycmathguy

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    20211024_200717.jpg
     
    nycmathguy, Oct 25, 2021
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  2. nycmathguy

    MathLover1

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    given area of the shaded triangle which height is 6 units
    y-intercept is at (0,6)

    use area to find x-intercept which is the end point of the base of the triangle

    area=(1/2)b*h
    72=(1/2)b*6
    72=b*3
    b=72/3
    b=24

    x-intercept is at (24,0)

    find a slope: (0,6), (24,0)

    m=(0-6)/(24-0)
    m=-6/24
    m=-1/4

    use point slope formula to find equation of the line

    y-y[1]=m(x-x[1]).....m=-1/4 and (0,6)
    y-6=-(1/4)(x-0)
    y=-(1/4)x +6
     
    MathLover1, Oct 25, 2021
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  3. nycmathguy

    nycmathguy

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    I like the way you worked your way to the answer.
     
    nycmathguy, Oct 25, 2021
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    MathLover1 likes this.
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