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Degger [83]
2 years ago
6

What is the equation of a line that is parallel to the given line and passes through the point (-2,2)

Mathematics
1 answer:
xz_007 [3.2K]2 years ago
3 0

The equation of the line will be y = \dfrac{1}{5}x + \dfrac{12}{5}

<h3>What is an equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

First, we need to find the equation of the line that is given:

We can use the formula,

m = \dfrac{y_1 - y_2}{x_1-x_2}

m=\dfrac{-3-(-4)}{0-(-5)}=\dfrac{1}{5}

So the equation for this line is  

y = (1/5) x - 3

This means that the equation for the line we are trying to find has a slope of as well

Let's put the points in the equation and try to find the y-intercept:

2 = \dfrac{1}{5} ( -2 ) + b

\dfrac{15}{5} = b

So the final equation for the line we are trying to find is y = \dfrac{1}{5}x + \dfrac{12}{5}

To know more about equations follow

brainly.com/question/2972832

#SPJ1

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Sleep is undoubtedly one of the most essential requirements for the human body to function properly. It plays a very important role in ensuring the wellness of the human body, both physically as well as mentally. In fact, the importance of sleep is clear from the fact that it helps you with maintaining a good lifestyle throughout your entire lifetime. Not only does it help you maintain your physical and mental health, it also helps in maintaining a decent and healthy lifestyle along with ensuring safety from a number of fatal diseases.

It is usually said that the mood in which you wake up is largely dependent on the type of sleep you have been in. This, in itself, is proof of the importance of sleep in our lives. While sleeping, our body finally gets its share of rest, and it also gets ample time to rejuvenate from all the wear and tear that it went through during the entire day. Not only this, the body is in its own working condition when we are sleeping, as this is the time when it supports the healthy functioning of the brain as well as physical attributes of our body. How many times have you been suffering from a headache, and then you slept for some time and found the pain to have vanished? This is the effect that a sound sleep session has on your mind as well as body.

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Sleep is undoubtedly one of the most essential requirements for the human body to function properly. It plays a very important role in ensuring the wellness of the human body, both physically as well as mentally. In fact, the importance of sleep is clear from the fact that it helps you with maintaining a good lifestyle throughout your entire lifetime. Not only does it help you maintain your physical and mental health, it also helps in maintaining a decent and healthy lifestyle along with ensuring safety from a number of fatal diseases.

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