This question is Based on Equation of a Straight Line Chapter of M.L Aggarwal book for ICSE BOARD for class 10.
The line through a point intersects y-axis at a point So,find the slope of the line ,equation of the line, coordinates of Q.
This is the Question Number 29, Exercise 12.2 of M.L Aggarwal.
(i) Here, θ = 45o
So, the slope of the line = tan θ = tan 45o = 1
(ii) Equation of the line through P and Q is
y – 3 = 1(x – 5)
x – y – 2 = 0
(iii) Let the co-ordinates of Q be (0, y)
Then, m = y2 – y1/ x2 – x1
1 = (3 – y)/ (5 – 0)
5 = 3 – y
y = 3 – 5 = -2
Thus, co-ordinates of Q are (0, -2).