Mathematics
Grade9
Easy

Question

The equation of a line parallel to y = 2x + 5 and whose y-intercept is negative 2 over 3 is ________.

  1. straight y equals negative 2 straight x plus 3 over 2
  2. straight y equals 2 straight x plus 2 over 3
  3. straight y equals 2 straight x minus 2 over 3
  4. straight y equals negative 2 straight x minus 3 over 2

hintHint:

To find the equation of a new line which is parallel to the given line we have to find the slope of the given line using the equation, as the equation is in slope intercept form. The required line is parallel to the given line ,so, slope will be equal. Now, we have slope and y intercept of the required line so by using slope intercept form we will get the equation.

The correct answer is: straight y equals 2 straight x minus 2 over 3


    Given equation, y=2x+5
    So, slope of the given line is 2.
    Required line is parallel to the given line , So, slope =2
    y-intercept=fraction numerator negative 2 over denominator 3 end fraction
    So equation of the required line is y=2x-2 over 3.

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