Mathematics
Grade9
Easy

Question

Tell which line through the given points is steeper.
Line 1: (-5, -3), (-1, 2)
Line 2: (1, 6), (3, 8)

  1. Line 1
  2. Line 2
  3. Line 1 and Line 2
  4. None

hintHint:

To find which line is steeper we need to find the slope of both lines first. Then we will compare the absolute values of the slopes, the line having greater slope will be the steeper line.

The correct answer is: Line 1


    Line 1 passes through the points (-5,-3),(-1,2)
    Slope=fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction equals fraction numerator 2 minus left parenthesis negative 3 right parenthesis over denominator negative 1 minus left parenthesis negative 5 right parenthesis end fraction equals fraction numerator 2 plus 3 over denominator negative 1 plus 5 end fraction equals 5 over 4
    Line 2 passes through the points (1,6) , (3,8).
    Slope=fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction equals fraction numerator 8 minus 6 over denominator 3 minus 1 end fraction equals 2 over 2 equals 1
    On comparing the absolute values , we get,
    line 1 is steeper.

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