Question

Which of the following equations represents a line equally inclined to the axes?

विकल्प

• 2x – 3y + 7 = 0

• x – y = 7

• x = 7

• y = –7

Answer 1

x – y = 7

Explanation:

1) 2x – 3y + 7 = 0

y = `2/3 x + 7/3`

m = `2/3` (not 1 or −1)

2) x – y = 7

y = x – 7

Comparing the above equation with y = mx + c, we get:

m = 1

3) x = 7 is a vertical line (slope undefined).

4) y = –7 is a horizontal line (slope 0).

Therefore, the required equation is x – y = 7.