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3 years ago

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How do we show that two lines are parallel when using slope? How do we show they are perpendicular when using slope?

1 answer:

Amanda [17]3 years ago

3 0

Answer:

QUESTION:

How do we show that two lines are parallel when using slope? How do we show they are perpendicular when using slope?

ANSWER:

<u><em>How to determine if a line is a parallel perpendicular or neither?</em></u>

The slopes of parallel lines are equal, and the slopes of perpendicular lines are opposite reciprocals. This is a worked example of determining whether given lines are parallel or perpendicular.

Step-by-step explanation:

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Answer:

<h2><u>X= 1</u></h2>

Step-by-step explanation:

<em>y = 5 - 3x</em>

<em>5x - 4y = -3</em>

you substitute for y since you know what y equals.

so, it will then be

5x -4(5 -3x) = -3

you then multiply -4 by everything in the parenthesis

so then it will be

5x - 20 + 12x = -3

Then combine like terms

5x + 12x = 17x

then the new equation is

17x -20 = -3

the next step is to and 20 to both sides since it is negative you do the opposite.

17x - 20 = -3

<u> + 20 +20</u>

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<h2><u>so, X = 1</u></h2>

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3 years ago

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Yakvenalex [24]

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3 years ago

What is the distance between the points (-6,7) and (-1,1)?

Nataly_w [17]

Answer:

$\sqrt{61}$

Step-by-step explanation:

To find the distance, we first do B - A, where B is (-6, 7) and A is (-1, 1):

(-6, 7) - (-1, 1) = (-6+1, 7-1) = (-5, 6)

Imagine it as a triangle, where the hypotenuse is the distance, and -5 and 6 are the lengths of the sides.

To find the hypotenuse (Pythagorean Theorem): $\sqrt{(-5)^2+6^2} =\sqrt{25+36} =\sqrt{61}$

The answer is the square root of 61.

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Answer:

Step-by-step explanation:

um

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2 years ago