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Paladinen [302]
1 year ago
15

Use slopes and y-intercepts to determine if the lines 5x-5y=-2 and -x+2y=4

Mathematics
1 answer:
HACTEHA [7]1 year ago
6 0

The given pair of lines are not perpendicular.

<h3>What is a line?</h3>

The line is a curve showing the shortest distance between 2 points.

5x - 5y = -2 - - - - - (1)
Transform the equation into standard form,
5x + 2 = 5y
y = 5x /5 + 2/5
y = x + 2/5


The slope of equation 1 is m_1 = 1  and intercept c = 2 / 5


Similarly
x + 2y = 4    - - - - - - - -(2)
Transform it into standard form
y = -x/2 + 4 /2
y = -x / 2 + 2


Slope of the equation 2  m_2= -1 / 2 and intercept c = 2
Slope of line 1 * slope of line 2 = 1 * -1/2 = -1/2


Since the lines are not perpendicular because the pair of lines does not satisfy the property of perpendicular lines i.e
m_1*m_2 = -1

Thus, the given pair of lines are not perpendicular.

Learn more about lines here:

brainly.com/question/2696693

#SPJ1  

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Answer:

y = -1/3x + 4

Step-by-step explanation:

Perpendicular lines: Their gradients are reciprocals.

This means:

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Gradient of the given equation is 3.

-1 / 3 = -1/3

Gradient of the equation we're finding is -1/3

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Substitute the coordinates in to find the value of c

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