Question

Draw the graph of the linear equations x – 4y + 10 = 0 and x + 4y – 10 = 0. Find the coordinates of the vertices of the triangle formed by these lines along with the X-axis.

Answer 1

The following equations are given:

x – 4y + 10 = 0  .....(i)

And x + 4y – 10 = 0  ......(ii)

For equation (i): x – 4y + 10 = 0

x	0	–10
y = `(x + 10)/4`	2.5	0
(x, y)	(0, 2.5)	(–10, 0)

For equation (ii): x + 4y – 10 = 0

x	0	10
y = `(10 - x)/4`	2.5	0
(x, y)	(0, 2.5)	(10, 0)

ABC is the triangle produced by these two lines and the X-axis.

Hence, the coordinates of the triangle formed are (–10, 0), (0, 2.5) and (10, 0).