Mathematics
Grade9
Easy

Question

Find a value for k so that the line through (2, k) and (7, 2) is parallel to the line with equation y = 2x + 3.

  1. 9
  2. -8
  3. 7
  4. -10

hintHint:

To find the value of k. we will first find the slope using the given coordinates . Also find the slope of the parallel line with the given equation, Now, we know that as lines are parallel so the slopes will be equal . So, after  equating the value of slope we will get the value of k.

The correct answer is: -8


    Line passes through the point (2, k) and (7, 2) is parallel to the line with equation y = 2x + 3.
    Slope of the line is 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 k over denominator 7 minus 2 end fraction
equals fraction numerator 2 minus k over denominator 5 end fraction
    slope of the parallel line is 2.
    So,
    fraction numerator 2 minus k over denominator 5 end fraction equals 2
2 minus k equals 10
k equals negative 8

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