• 2021 April(D05) Math Question 55

    Equation of a Line

    - Equations that Describe a Line

    Equation of Line, Slope
    Choice E
    55. In the standard (x,y) coordinate plane below, a shaded square is shown with vertices at (2,3), (2,4), (3,3), and (3,4). Two lines, y = rx and y = sx, each intersect the shaded square at exactly 1 point. Given that r ≠ s, what is the positive difference of r and s ?
    Slope  r={4−0}{2−0}=2Slope \; r=\frac\{4-0\}\{2-0\}=2
    Slope  s={3−0}{3−0}=1Slope \; s=\frac\{3-0\}\{3-0\}=1
    ∴r−s=1\therefore r-s=1

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