Question

Find the equation of the line having slope `1/2` and containing the point (3, −2).

Answer 1

Given, slope(m) = `1/2` and the line passes through (3, −2).

Equation of the line in slope point form is y − y₁ = m(x − x₁)

∴ The equation of the required line is

[y − (− 2)] = `1/2("x" - 3)`

∴ 2(y + 2) = x − 3

∴ 2y + 4 = x − 3

∴ x − 2y − 7 = 0