Intersecting the x-axis at a distance of 3 units to the left of origin with slope - 2

Solution:

It is known that if a line with slope m makes x-intercept d, then the equation of the time is given as y = m (x - d).

For the line intersecting the x-axis at a distance of 3 units to the left of the origin, d = - 3.

The slope of the line is given as m = - 2

Thus, the required equation of the given line is

y = - 2 [x - (-3)]

y = - 2x - 6

2x + y + 6 = 0

Hence the equation is 2x + y + 6 = 0

NCERT Solutions Class 11 Maths Chapter 10 Exercise 10.2 Question 5

Intersecting the x-axis at a distance of 3 units to the left of origin with slope - 2

Summary:

The equation of the line intersecting the x-axis at a distance of 3 units to the left of origin with slope - 2 is 2x + y + 6 = 0