Maths-
General
Easy

Question

A line passing through (6, a) and (9, -4) is parallel to 2x - 3y = 6. What is the value of a?

  1. -6
  2. -3
  3. -2
  4. -3

hintHint:

  • A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined on both sides of a point.

The correct answer is: -6


    • We have been given a straight line that passes through two points given in the question we have to find value of a.
    Step 1 of 2:
    We will first find the equation of the line
    Since it is parallel to 2x - 3y = 6
    Slope will be same.
    So, Slope of the line will be 2 over 3
    Since it passes through (9, -4)
    The equation will be

    y plus 4 equals 2 over 3 left parenthesis x minus 9 right parenthesis
    y equals 2 over 3 x minus 10
    Step 2 of 2:
    Since the line passing through the point (6, a).
    It will satisfy the given line

    y equals 2 over 3 x minus 10

    a equals 2 over 3 left parenthesis 6 right parenthesis minus 10.

    a = -6.

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