Question

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

Group of answer choices

y=3x+5

y=3x+9

y=(-1/3)x+6

y=(-1/3)x+10

y=(1/3)x+4

y=(1/3)x+6

Answer 1

9514 1404 393

Answer:

• y=(-1/3)x+6
• y=(-1/3)x+10

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