AlgebraMediumx-intercept of a line after a horizontal translation
Algebra practice question
In the xy-plane, the graph of 3x + 4y = 12 is translated 2 units to the right. What is the x-intercept of the translated graph?
Answer: 6
The original x-intercept is 12/3 = 4. Moving the whole line 2 units right moves that point to x = 6. (The new equation is 3(x − 2) + 4y = 12.)
Common wrong answers
- If you answered 2
- 2 is the translation, not the intercept.
- If you answered 4
- 4 is the original x-intercept.
- If you answered 5
- 5 comes from a y-intercept of 3 plus 2, mixing the intercepts.
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