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Math Help - Find m and b

  1. #1
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    Find m and b

    If (2,0) and (0,5) are points on the graph of y = mx +b, what are m and b?
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  2. #2
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    Quote Originally Posted by magentarita View Post
    If (2,0) and (0,5) are points on the graph of y = mx +b, what are m and b?
    You posted a similar question a while ago: http://www.mathhelpforum.com/math-he...d-value-k.html. The method shown to you there is the same as the method required here .... The current question requires you to do the same thing - twice - to get two equations:

    Substitute each point into the equation. Get two equations in the unknowns m and b. Solve the two equations simultaneously for m and b.
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  3. #3
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    Quote Originally Posted by magentarita View Post
    If (2,0) and (0,5) are points on the graph of y = mx +b, what are m and b?
    m represents the slope of the line whose graph is y=mx+b.

    b
    represents the y-intercept of the line whose graph is y=mx+b.

    The y-intercept is already given to you in the point (0,5). Therefore, b=5.

    m can be found using the slope formula:

    Given (x_1, y_1) \ \ and \ \ (x_2, y_2)

    m=\frac{y_2-y_1}{x_2-x_1}

    Use your two points to substitute in the above formula to solve for m.
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  4. #4
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    oh....

    Quote Originally Posted by mr fantastic View Post
    You posted a similar question a while ago: http://www.mathhelpforum.com/math-he...d-value-k.html. The method shown to you there is the same as the method required here .... The current question requires you to do the same thing - twice - to get two equations:

    Substitute each point into the equation. Get two equations in the unknowns m and b. Solve the two equations simultaneously for m and b.
    I forgot about the other
    post about finding the value of k.

    Thanks.
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  5. #5
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    Thanks...

    Quote Originally Posted by masters View Post
    m represents the slope of the line whose graph is y=mx+b.

    b represents the y-intercept of the line whose graph is y=mx+b.

    The y-intercept is already given to you in the point (0,5). Therefore, b=5.

    m can be found using the slope formula:

    Given (x_1, y_1) \ \ and \ \ (x_2, y_2)

    m=\frac{y_2-y_1}{x_2-x_1}

    Use your two points to substitute in the above formula to solve for m.
    Thanks for breaking this one down for me.
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