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prisoha [69]
2 years ago
15

Write an equation of the line passing through point P that is perpendicular to the given line.

Mathematics
2 answers:
cluponka [151]2 years ago
6 0

Answer:

y = 1/3x + 8

Step-by-step explanation:

1. Find slope of y = -3x+13

(m = -3)

2. Compute slope for perpendicular line

(m = 1/3)

basically, to find the perpendicular slope, you swap the numerator and denominator of your slope and swap it from negative to positive. (If you started with a positive slope it would turn negative)

3. Find the line with slope m=1/3 that passes through (6,0)

(y = 1/3x + 8)

katovenus [111]2 years ago
4 0

Answer:

y = 1/3x + 8

Step-by-step explanation:

*perpendicular means the reciprocal slope of the given line

m = 1/3

y = 1/3x + b

*plug in points with the point-slope equation

10 = 1/3(6) + b

10 = 2 + b

b = 8

*now plug everything into the equation

y = 1/3x + 8

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You can use the distributive property of multiplication over addition to find the equivalent expression to the given expression.

The expression which is equivalent to the given expression is given by

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<h3>What are equivalent expressions?</h3>

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

<h3>What is distributive property of multiplication over addition?</h3>

Suppose a, b and c are three numbers. Then we have:

a(b + c) = a \times b + a \times c

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

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The given expression is -28xy + 35y

Since 28 = 7 times 4 and 35 = 7 times 5

Thus,

-28xy + 35y = -7 \times 4 \times x \times y + 7 \times 5 \times y = 7y(-4x + 5)

Thus,

The expression which is equivalent to the given expression is given by

Option D: 7y(-4x + 5)

Learn more about equivalent expressions here:
brainly.com/question/10628562

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Suppose a basketball team had a season of games with the following characteristics:
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Answer:

Hello Sir/ Mam

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