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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:

- 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

Since it passes through (9, -4)

The equation will be

Step 2 of 2:

Since the line passing through the point (6, a).

It will satisfy the given line

a = -6.

Step 2 of 2:

Since the line passing through the point (6, a).

It will satisfy the given line

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