Question:

What is the slope of the line that passes through (-4, -2) and the origin?

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m = 1/2

b = 1/2

m = -1/2

insufficient information given

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4 ANSWERS


  1. Use the definition of slope.  Slope is "rise over run", or change in y values over change in x values.

    The slope of the line passing through (0,0) and (-4, -2) is

    (-2 - 0) / (-4 - 0) = -2 / -4 = 1/2


  2. Use Rise over Run.

    The two points to use are (-4,-2) and (0,0) [the origin].

    Rise over Run is = (y2-y1)/(x2-x1)

    This is (0-[-4])/(0-[-2]) or (-4-0)/(-2-0).

    In either case you end up with a slope of m=1/2

    So the first answer is correct, as "m" is the symbol for slope, not "b"

  3. here...

    there are two points, (-4,-2) and the origin (0,0) then ...

    to find the gradient(slope) = (difference of y) / (difference of x)

    = ( -2 - 0) / ( -4- 0) = -2/-4 = 1/2

    so the slope or m = 1/2.      

    done

    see ya.                            

  4. Y=mX+B, where B= 0

    Y=mX

    -2=m(-4)

    -2/-4=m

    m=1/2

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