Algebra help real quick please?

poppy-anderson_60bd000410b3fpoppy-anderson_60bd000410b3f
in Science & Mathematics

if y varies directly with x, and when y is 24, x is 6 what is y when x is 9?

Write the equation in slope-intercept form for the line that goes through the points (1,3) and (2,5)

Solve (3a - 4b) over 2 = c for the letter b

Update:

Thank you guys for all your help, appreciate it

Comments

  • jeris-gjeris-g

    24 / 6 = y / 9

    6y = 216

    y = 36.

    Remember y = mx + b

    (1,3) and (2.5) in slope-intercept form would be...

    y = 2x + 1

    (3a - 4b) / 2 = c for the letter b.

    3a - 4b = 2c

    -4b = 2c - 3a

    b = (2c - 3a) / -4

  • rickrick

    The statement "y varies directly with x" can be written: y=mx

    If y=24 and x=6 then m=4

    When x=9 then y=4x9=36

    Second question: y=mx+b for (1,3) 3=m+b for (2,5) 5=2m + b

    substitute and solve for m: 5=2m+(3-m) ==> m=2

    You can find this from (5-3)/(2-1) the change in y/change in x as well = 2

    Then solve for b ==> b=1

    y=2m+1

    Third question:

    (3a-4b)/2=c multiply by 2

    3a-4b=2c

    -4b=2c-3a

    b=(3a-2c)/4

  • ashely-cornerashely-corner

    I think the first part is 36

    5=2x+b

    I haven't done these equations in months so verify this is correct

    I'm not sure about the answer I came up with in part 3, so ill let someone else help you with that one

  • mixonjrmixonjr

    (0, -4) you in basic terms could desire to alter the solutions given into the equation. -3(0) + (-4) = -4 3(0) + (-4) = -4 because the two a style of equations somewhat equivalent -4, then (0, -4) is the main strategies-blowing pair.

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