Mathematics, 05.02.2022 14:00 suttonfae336

Write the equation of the line that is parallel to the line y = -x + 2 and goes through the point
(-6,8)

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Answer from: AaronMicrosoft15

y = -x + 2

Step-by-step explanation:

Lines that are parallel have the same slope but different

y-intercepts.

So the slope of the parallel line is -x

We can input the x and y points given to solve for the new y-intercept

y = -x + b8 = -(-6) + b8 = 6 + bb = 2

The new line is y = -x + 2. Since these two lines are the same, they are coinciding lines.

-Chetan K

Answer from: Nashae4771

y = - x + 2

Step-by-step explanation:

We can use the below formula to find the equation of a line.

y = m x + c

Here,

m ⇒ slope

c ⇒ y - intercept

We know that , if two lines are parallel to each other, it means that the slopes of two lines are also equal.Therefore, according to the question we have to find the y - intercept in order to write the equation of the line.For that, you can use the given coordinate of the new line.Also, as the two lines are parallel, the slope of the new line is (-1 ).

Let us solve now.

( -6 , 8 ) ⇒ ( x , y )

y = m x + c

8 = -1 × -6 + c

8 = 6 + c

8 - 6 = c

2 = c

And now let us write the equation of the line.

y = m x + c

y = - x + 2

Hope this helps you :-)

Let me know if you have any other questions :-)

Answer from: Quest

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Answer from: Quest

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step-by-step explanation:

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