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Find the equation of a line which cuts the x-axis at a distance of 3 units to the left of the origin and has a slope equal to - 2 ?

Find the equation of a line which cuts the x-axis at a distance of 3 units to the left of the origin and has a slope equal to - 2 ? Correct Answer 2x + y + 6 = 0

CONCEPT:

The equation of a line with slope m and making an intercept d on the x-axis is given by y = m × (x - d)

CALCULATION:

Here, we have to find the equation of a line which cuts the x-axis at a distance of 3 units to the left of the origin and has a slope equal to - 2.

As we know that, the equation of a line with slope m and making an intercept d on the x-axis is given by y = m × (x - d)

Here, we have m = - 2 and d = - 3

So, the equation of the required line is: y = - 2 × (x + 3)

⇒ y = - 2x - 6

So, the equation of the required line is 2x + y + 6 = 0

Hence, option A is the correct answer.

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