Question

Find the equation of a line through point (5, -1) and perpendicular to line 4x + 2y – 3 = 0.

Answer 1

4x + 2y = 3
2y = −4x + 3
y = −2x + ³/₂
Gradient (m1) = −2
m1 x m2 = −1
−2 x x = −1
        x= −1 = ½
             −2
(x, y) (5, −1)
y−−1=½
 x−5
y + 1 = ½ (x – 5)
y = ½x−⁵/₂−¹/₁
y = ½x−3½