Question:medium
The x-intercept and y-intercept of a line are three times and four times of the x-intercept and y-intercept of the line $3x+2y=6$, respectively. Then the equation of the line is
The x-intercept and y-intercept of a line are three times and four times of the x-intercept and y-intercept of the line $3x+2y=6$, respectively. Then the equation of the line is
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Logic Tip: You can also find intercepts quickly by setting the other variable to 0. For $3x+2y=6$: set $y=0 \implies 3x=6 \implies x=2$. Set $x=0 \implies 2y=6 \implies y=3$. Then multiply by 3 and 4 respectively to get the new intercepts 6 and 12.
Updated On: Apr 27, 2026
- $2x-y=12$
- $2x+y=12$
- $2x-y=-12$
- $x+2y=12$
- $x+2y=12$
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The Correct Option is B
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