Question

The line through P (5, 3) intersects Y axis at Q.
(i) Write the slope of the line.
(ii) Write the equation of the line.
(iii) Find the coordinates of Q.

Answer 1

(i)
m = tan  θ = tan 45°
m = 1

(ii) Equation of line PQ
y - y₁ = m(x - x₁)
y - 3 = 1 (x - 5)
y - 3 = x - 5
⇒ x - y - 2 = 0
(iii) Equation of PQ is
x - y - 2 = 0
Put x = 0 (coordinates of Q)
-y -2 = 0
⇒ y = -2
So, coordinates of Q(0, -2).