The line 1 contains the points(1,1) and (2,4) The line m contains the points (4,1) and (3,-2) Investigate if 1 is parallel to m<

Question

The line 1 contains the points(1,1) and (2,4)
The line m contains the points (4,1) and (3,-2)
Investigate if 1 is parallel to m

Hi please help

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Madeline 3 weeks 2021-09-08T22:27:39+00:00 1 Answer 0

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    2021-09-08T22:29:14+00:00

    Answer:

    Line 1 is parallel to line me.

    Step-by-step explanation:

    Two lines are parallel are if they have the same slopes. So we calculate and compare the slope of line 1 and line m. If they all have the same slopes then it means they are parallel.

    The slope of any straight line is given by

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

    Slope of line 1 whose points are (1,1) and (2,4);

     =  \frac{4 - 1}{ 2- 1} =  \frac{3}{1} = 3

    Also, the slope of the line m whose points (4,1) and (3,-1);

     =  \frac{ - 2 - 1 }{3 - 4} = \frac{ - 3}{ - 1} = 3

    Line 1 and line m are parallel since they have the same slope.

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