Which equations are perpendicular to the line that passes through (2,1) and (3,4)
1 answer:
9514 1404 393
Answer:
- y=(-1/3)x+6
- y=(-1/3)x+10
Step-by-step explanation:
The slope of the given line can be found from the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (4 -1)/(3 -2) = 3/1 = 3
The slope of the perpendicular line is the opposite reciprocal of this:
perpendicular slope = -1/m = -1/3
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Choices (c) and (d) have x-coefficients that are -1/3. Those are the perpendicular lines.
- y=(-1/3)x+6
- y=(-1/3)x+10
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