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1 year ago

How to find the point slope form with the slope of 3 and the point of -2/6

Mathematics

1 answer:

Levart [38]1 year ago

5 0

$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\qquad \tt \rightarrow \:y-6 = 3(x + 2)$

____________________________________

$\large \tt Solution \: :$

Equation of line in point - slope form :

$\qquad \tt \rightarrow \:y-y_1 = m(x - x_1)$

$\tt \:m = slope=3$

$\tt y_1 = y \: \: coordinate \: \: of \: \: point = 6$

$\tt \:x_1 = x \: \: coordinate \: \: of \: \: point = - 2$

Here :

$\qquad \tt \rightarrow \:y - 6 = 3(x - ( - 2))$

$\qquad \tt \rightarrow \:y - 6 = 3(x + 2)$

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3 years ago

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Step-by-step explanation:

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2 years ago

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2 years ago

Mnenie [13.5K]

Answer: n = 75; p = 30

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We can use the elimination method to solve these two equations.

1. Multiply the first equation by 2 so that 10p will cancel out:

2(5p + 4n = 450)

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10p + 8n = 900

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5n = 375

2. Divide by 5 to get n alone: n = 75

3. Plug 75 into the first equation: 5p + 4(75) = 450

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4. Subtract 300 from 450: 5p = 150

5. Divide by 5 to get p alone: p = 30

We can test if this is correct by plugging our answers into the second equation:

10(30) + 3(75) = 525

300 + 225 = 525

525 = 525

This is a true statement, which means that our answers are correct.

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3 years ago