Question

Write the equation of the line that is parallel to

the line y = -x + 2 and goes through the point
(-6,8)

Answer 1

y = -x + 2

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 + b
• 8 = -(-6) + b
• 8 = 6 + b
• b = 2

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

-Chetan K

Answer 2

y = - x + 2

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 :-)