1) say you are given the graph of the line y =- x write the equation of the line that is parallel to the given line and goes through the point (-8,2)
2) say you are given the graph of the line y =- x write the equation of the line that is parallel to the given line and goes through the point (8,2)

Answers

Answer 1

I'm pretty sure the answer to y=−x. Write equation for (8,2) is y=x-6. The opposite of the x is -8, hence, (-8,2) is y=-x-6 is the answer

Answer 2

1. The equation of the line which is parallel and goes through the point (-8, 2) is,

y = x + 10

2. The equation of the line which is parallel and goes through the point (8, 2) is,

⇒ y = x - 6

What is Equation of line?

The equation of the line in slope-intercept form is expressed as:

y - y₁ = m(x - x₁)

where: m is the slope.

and (x₁, y₁) is the point on the line.

1. Given that;

Equation of the line as y = -x

Get the slope of the line,

y = -x

m = -1

Since, The required line is parallel to this line,

So, the required slope will be -1

Now, Get the required equation as,

y - y₁ = m(x - x₁)

y - 2 = 1 ( x - (-8) )

y - 2 = x + 8

y = x + 8 + 2

y = x + 10

Hence, The equation of the line which is parallel and goes through the point (-8, 2) is,

⇒ y = x + 10

2.  Given that;

Equation of the line as y = -x

Point as (8, 2)

Get the slope of the line,

y = -x

m = -1

Since, The required line is parallel to this line,

So, the required slope will be -1

Now, Get the required equation as,

y - y₁ = m(x - x₁)

y - 2 = 1 ( x - 8 )

y - 2 = x - 8

y = x - 8 + 2

y = x - 6

Hence, The equation of the line which is parallel and goes through the point (8, 2) is,

⇒ y = x - 6

Thus,

1. The equation of the line which is parallel and goes through the point (-8, 2) is,

y = x + 10

2. The equation of the line which is parallel and goes through the point (8, 2) is,

⇒ y = x - 6

Learn more about the equation of line visit:

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Answer:

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--------------------------

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