Question

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

पर्याय

• 2x – 3y + 7 = 0

• x – y = 7

• x = 7

• y = –7

Answer 1

x – y = 7

Explanation:

A line equally inclined to the x-axis and y-axis means that the line makes an angle of 45° or 135° with the positive x-axis. Such lines have slopes of 1 or –1.

For the line x – y = 7:

• Rearrange to slope-intercept form: y = x – 7
• The slope is 1, indicating the line is inclined at 45° to the positive x-axis, hence equally inclined to both axes.