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vivado [14]
4 years ago
13

Which equation represents the line that is perpendicular yo y=3/2x+1 and passes through (-12,6)

Mathematics
1 answer:
klemol [59]4 years ago
6 0

Answer:

y = -2/3x - 2

Step-by-step explanation:

Step 1: Find slope <em>m</em> of perpendicular line

<em>Simply take the negative reciprocal of the given line</em>

m = -2/3

y = -2/3x + b

Step 2: Find <em>b</em>

6 = -2/3(-12) + b

6 = 8 + b

b = -2

Step 3: Rewrite perpendicular equation

y = -2/3x - 2

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The least common denominator of 3 and 4 is 12.  This means that we have to change both fractions into equal fractions with denominators of 12.

To figure this out, we must set up a proportion.
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Therefore, 2/3 = 8/12, so Luis skates 8/12 mile from his home to school.

If we do the same process for the 2/4 mile to get to school for Isabella, we get 6/12, because both fractions are equal to 1/2.

Therefore, we know that Luis skates 8/12 mile to school and Isabella skates 6/12 mile to get to school.  Because they have the same denominator, we can just compare the numerators.  We know that 8 is greater than 6, thus Luis skates farther to get to school.

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