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kotegsom
1 month ago
8

The lines y=3x-1 and y=ax+2 are perpendicular if a=___

Mathematics
2 answers:
babunello [11.8K]1 month ago
8 0

Response:

a = \frac{-1}{3}.

Stepwise explanation:

The line equation format is:

y = mx + c

where m represents the slope and c is the y-intercept.

Given are two lines: y=3x-1 and y=ax+2, which are perpendicular.

For the first line, the slope is 3, and for the second line, the slope is a.

Using the property of perpendicular lines:

When two lines are perpendicular, the slope of one is the negative reciprocal of the other.

Therefore:

a = \frac{-1}{3}

Consequently:

a = \frac{-1}{3}.

Svet_ta [12.7K]1 month ago
4 0
To determine the slope of the line perpendicular to another, take the reciprocal of the original slope (here, 1 divided by 3) and multiply by -1, resulting in -1/3.
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