Find the equation of the straight line which intercepts from the positive parts of the coordinate axes (X-axis and Y-axis) two parts of lengths 4 and 9 units respectively.
Correct Answer: (c) Both a and b
Explanation:
Using intercept form \( \frac{x}{a} + \frac{y}{b} = 1 \):
- x-intercept (a) = 4
- y-intercept (b) = 9
Therefore:
\( \frac{x}{4} + \frac{y}{9} = 1 \) (option a)
Which can be converted to \( 9x + 4y = 36 \) (option b)
Explanation:
Using intercept form \( \frac{x}{a} + \frac{y}{b} = 1 \):
- x-intercept (a) = 4
- y-intercept (b) = 9
Therefore:
\( \frac{x}{4} + \frac{y}{9} = 1 \) (option a)
Which can be converted to \( 9x + 4y = 36 \) (option b)
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