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