Question

Write the equation of the line parallel to x-axis and passing through the point

(–2, –5/2)

. Also write two more solutions of the equation.​

Answer 1

Equation of straight lines

Given: a straight line is parallel to x-axis

To find: the equation of the line when it passes through the point (- 2, - 5/2)

Solution:

• We know that, the equation of the x-axis is y = 0.

• Let the equation of the line parallel to the x-axis be y = k, where k is arbitrary

• Since the line y = k passes through the point (- 2, - 5/2), we can write
• k = - 5/2

• Putting k = - 5/2 in y = k, we get the required paralle straight line:
• y = - 5/2 or, 2y + 5 = 0.

Answer:

• parallel straight line: 2y + 5 = 0
• two more solutions are y = - 10/4, - 15/6.