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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?

-6
-3
-2
-3

hint Hint:

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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