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denpristay [2]
3 years ago
14

9. What is the equation of a line perpendicular to 3x – 4y = 24 ?

Mathematics
1 answer:
Alika [10]3 years ago
6 0
Perpendicular lines have slopes that are negative reciprocals of each other, that is, if one slope is a/b, the other slope is -b/a
the given line 3x-4y=24, 4y=3x-24, y=3/4x-6 has a slope of 3/4, so the slope of the perpendicular line has a slope of -4/3
y=(-4/3)x+b, b can be any number.
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Answer:

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Y: 9-6 =3

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Now choose one of the ordered pairs to use to substitute to find the y intercept or "b" in y=mx + b

I chose 4,6 since the slope has a 4 in the denominator

Use y=mx + b

Y =6 from ordered pair    m/slope= 3/4   x= 4 from ordered pair and you are looking for b

6= 3/4 (4) + b

6= 12/4 or 3 + b  subtract 3 from both sides

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