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Question
Which of the following equation represents a line equally inclined to the axes?
Options
2x – 3y + 7 = 0
x – y = 7
x = 7
y = –7
Solution
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.
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