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Math Help - Are my answers correct to these problems?

  1. #1
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    Are my answers correct to these problems?

    Write an equation for the given line:

    1. P(2,3), m=2
    2. P(1,0), no slope
    3. P (-1,2), m=-1/2
    4. P(2,3), m = 0

    1.y=2(x-2)+3
    2. y=(x-1)
    3. y= -1/2(x+1)+2
    4. y=(x-2)+3
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  2. #2
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    no slope or m=0, means the line is horizontal, having the same y-value for all x

    so it doesnt depends of x

    2 and 4 arent correct
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  3. #3
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by yitsongg View Post
    Write an equation for the given line:

    1. P(2,3), m=2
    2. P(1,0), no slope
    3. P (-1,2), m=-1/2
    4. P(2,3), m = 0

    1.y=2(x-2)+3
    2. y=(x-1)
    3. y= -1/2(x+1)+2
    4. y=(x-2)+3
    The point-slope form of the equation to a line is given by (y_2-y_1)=m(x_2-x_1).

    The answer you have for the first problem is correct. In the second problem, however, your are asked to find the equation to a line that goes through the point (1,0) that has no slope. No slope implies that the line is vertical. Thus, the equation is x=1.

    Number 3 is correct.

    Number 4 is wrong. If I use the formula that I have written at the beginning og this post, I have

    y-3=0(x-2)
    y-3=0
    y=3

    This is a horizontal line, as is expected given a slope of 0.
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  4. #4
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    Thanks
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