Question

What is an equation of the line that passes through the point (-2, 2) and is parallel to the line 2x + y = 1?​

Answer 1

2x+y=1 is in standard form so we will convert it to slope int form by subtracting 2x

y=-2x+1

the line we are finding the equation for is PARALLEL to this line here so the slope is the same

for the line’s equation we will put it in point slope form. y-y1=m(x-x1)

y-2=-2(x+2) is the answer!

Answer 2

Answer:

y=−2x−2

Step-by-step explanation:

First convert 2x+y=1 to y=-2x+1 using slope intercept form

Find the slope of the line, since the line is parallel the slope will be the same:  m= -2

So, the equation of the parallel line is y=−2x+a.

To find a, we use the fact that the line should pass through the given point: 2=(−2)⋅(−2)+a.

Thus, a=−2.

Therefore, the equation of the line is y=−2x−2.

Answer: y=−2x−2.