In Exercises, find the equation of the line which satisfy the given conditions:

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

Given point = (-4, 3) and slope, m = 1/2

We know that the point (x, y) lies on the line with slope m through the fixed point (x₀, y₀), if and only if, its coordinates satisfy the equation y – y₀ = m (x – x₀)

∴ y – 3 = 1/2 (x – (-4))

⇒ y – 3 = 1/2 (x + 4)

⇒ 2(y – 3) = x + 4

⇒ 2y – 6 = x + 4

⇒ x + 4 – (2y – 6) = 0

⇒ x + 4 – 2y + 6 = 0

⇒ x – 2y + 10 = 0

Ans. The equation of the line is x – 2y + 10 = 0.