Calculus

Given the function 6x+3y=18, find the area under the curve from x=0 to x=3 using 3 strips of equal length using the right end points.

I was working on this and so I made the equation equal to Y=mx+b form so it ends up being Y=-2x+6, and now I am completely confused.. Please help!

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  1. Your 3 strips would be 3 trapezoids.
    The confusing part is the fact that the last "trapezoid" is actually just a triangle

    area of trapezoids
    = (1/2)(1)(6+4) + (1/2)(1)(4+2) + (1/2)(1)(2+0)
    = 5 + 3 + 1
    = 9

    ( your area consists of a triangle with a base of 3 and a height of 6
    area = (1/2)base x height
    = (1/2)(3)(6) = 9 , confirming our answer above )

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  2. I had wrote 9 as my answer for this question when I had tried it myself last week and my teacher gave it back to me yesterday saying it was wrong, which is Y I was also confused and decided to post the question on here , I'm very confused ..

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