math

how do you come up with a equation for a line?? helpppp!!!!

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  1. What are you given? two points? point and slope?

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  2. you have to find the slope then do this formula. y=mx+b and plug it in.

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  3. That is exactly what I would do.

    find the slope (Y2-Y1)/(X2-X1)
    call it m

    like if point 1 was (2,1) and point 2 was (3,6)
    m = (6-1)/(3-2) = 5

    then you have something like
    y = 5 x + b if m came out 5

    now all you have to do is put one point in and solve for b
    like if point 1 was (2,1)
    1 = 5 (2) + b
    1 = 10 + b
    b = -9

    so the line is
    y = 5 x - 9

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  4. To find the slope of a line: use this equation: (y2-y1)divided by (x2-x1
    EX. your two points are (4,2) and (5,5). The equation would go like this: (5-2)/(5-4)=3/1=3. Therefore, the slope of the line is 3.

    About the y=mx+b, you plug in the slope in place of x and the y-intercept in place of b (I'm pretty sure the y-intercept is the point at which the line meets up with the y-axis [in this case, is (0,-10),], so b would be -10). Leaving the resulting equation as y=3x-10.

    So to solve this, use the formula for slope, find the y-intercept, and plug in the two values. Hope this helps!

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