Which equations are perpendicular to the line that passes through (2,1) and (3,4)

Mathematics

1 answer:

REY [17]2 years ago

5 0

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

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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