9514 1404 393
Answer:
- change line B to y = 1/3x -2, or
- change line A to 3x +12y = 12
Explanation:
This is a rather open-ended question with an infinite number of possible answers. Here, we have elected to make a change in one coefficient in one of the equations to make its line perpendicular to the other line.
The change to Line A that makes it perpendicular to B results in an equation that is not in standard form. To put the equation into standard form would require another change to that equation.
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The slope of line A is -3, so a perpendicular line will have a slope of 1/3. The coefficient of x in Line B can be changed to 1/3 to make it perpendicular to A.
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The slope of line B is 4, so a perpendicular line will have a slope of -1/4. The coefficient of y in Line A can be changed to +12 to make it perpendicular to B.
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Additional comment
If your original question has possible answer choices, you need to determine which choice will make the lines perpendicular. When lines are perpendicular, their slopes are opposite reciprocals of each other. The slope is the coefficient of x when the equation is solved for y.