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    1. Find an equation of the line with the given slope and containing the given point.

    m =2/3, (8,7)

    a. y = (2/3)x + 8

    b. y = 2/3)x + 8

    c. y = 5/3

    d. y = (2/3)x + 5/3

    2. Graph the linear inequality

    x + y less than = _6

    © BrainMass Inc. brainmass.com December 24, 2021, 8:12 pm ad1c9bdddf
    https://brainmass.com/math/linear-algebra/linear-equation-problems-256260

    SOLUTION This solution is FREE courtesy of BrainMass!

    1. the answer is d: y = 2/3x + 5/3

    equation = y = mx + c where m is gradient (given as 2/3) and c is the gradient (where line crosses the y axis)

    found by subbing values given into the rearrange equation:

    y = mx + c ---> c = y-mx = c ---> 7 - (2/3)8 = 5/3

    so

    y = (2/3)x + 5/3

    2.

    rearrange x + y < -6 to make it a function of y

    (assume < is =)

    y = x - 6

    plot attached

    I hope this helps and please request me as an OTA in the future (my OTA number is 106478) if you need any further help and a quick response

    Many thanks,

    Alan Robinson,PhD

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 8:12 pm ad1c9bdddf>
    https://brainmass.com/math/linear-algebra/linear-equation-problems-256260

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