Maths

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Hi, I have to produce a sketch of a line that passes through the points (4,3) and (10,0), i have already worked its gradient out to be -0.5 and its y - intercepts as 5. For some reason i am having a mental block on the next bit! I need to add the line y = 6 to the sketch and then use algebra to find the coordinates of the point where the two lines intersect.

Please help

  • Maths -

    GIVEN: ( 4, 3 ), ( 10, 0 ).
    m = -3/6 = -1/2 = -0.5
    Find Equation of line:
    Y = mX + b
    3 = -1/2(4) + b.
    Solve for b: b = 5.
    Y = -1/2X +5
    Substitute 6 for Y and solve for X.
    6 = -1/2X + 5
    1/2X = -1, X = -2. P ( -2, 6 ) is
    where the lines intersect. Y = 6 is
    a horizontal line 6 units above x
    axis. Graph both lines and compare
    point of intersection ( solution )
    with calculated value.

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