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.