Passing through the point (- 4, 3) with slope 1/2

Solution:

We know that the equation of the line passing through point (x₁, y₁), whose slope is m, is (y - y₁) = m (x - x₁)

Thus, the equation of the line passing through point (-4, 3) , whose slope is 1/2,

(y - 3) = 1/2 (x + 4)

2(y - 3) = x + 4

2y - 6 = x + 4

x - 2y + 10 = 0

Hence the equation is x - 2 y + 10 = 0

NCERT Solutions Class 11 Maths Chapter 10 Exercise 10.2 Question 2

Passing through the point (- 4, 3) with slope 1/2

Summary:

The equation of the line which passes through the point (- 4, 3) with slope 1/2 is x - 2y + 10 = 0