Mathematics
Grade9
Easy

Question

The line s passes through the points (0, -7) and (6, 5). Which equation is an equation of a line parallel to line s?

  1. y = - 2 x - 9
  2. straight y space equals space 1 half space space straight x space plus 7
  3. straight y space equals space minus space 1 half space x space minus 5
  4. straight y space equals space 2 space straight x space plus space 3

hintHint:

In this question we have to find the equation of the line parallel to line s. From the given equation of line s we will find the slope first also we know that the slope of both the lines will be equal as lines are parallel . Now from the given options we will find the equation which has slope as 2.

The correct answer is: straight y space equals space 2 space straight x space plus space 3


    Given, The line s passes through the points (0, -7) and (6, 5).
    Slope of the line = fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
    equals fraction numerator 5 minus left parenthesis negative 7 right parenthesis over denominator 6 minus 0 end fraction
equals fraction numerator 5 plus 7 over denominator 6 end fraction
equals 12 over 6
equals 2
    slope of the parallel to given line will also be 2.
    so the equation of the line parallel to the given line from the options is y=2x+3.

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