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Math Help - y intercept and x intercept

  1. #1
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    y intercept and x intercept

    "Which of the following is an equation of the line that has a y-intercept of 2 and an x-intercept of 3?

    a) -2x+3y=4

    b) -2x+3y=6

    c) 2x+3y=4

    d) 2x+3y=6

    e) 3x+2y=6

    Can you include the steps? Thanks in advance
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  2. #2
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    Correct answer is [d]

    y-intercept means where a line cuts Y axes. if y-intercept is 2 then it means, y=2 and x=0 and also x-intercept is where a line cuts X axes and if x-intercept is 3 then x=3 and y=0.

    Now to find the correct answer we put y=2 and x=0 for the first time and we get 2x+3y=6 = 2(0) + 3(2) = 6 the correct choice! but we have to test the second one also. we put x=3 and y=0 and we have :
    2x+3y=6 = 2(3) + 3(0) = 6 ... again correct!
    So the correct answer is [d]

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  3. #3
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    Quote Originally Posted by narbe View Post
    Now to find the correct answer we put y=2 and x=0 for the first time and we get 2x+3y=6 = 2(0) + 3(2) = 6 the correct choice!

    how do you to put into the equation 2x+3y=6? where did you get this equation?
    thanks in advance
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  4. #4
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    i put numbers in equation instead of X and Y and I check, which for which of them the equation is true. clear?
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