Line a is represented by the equation y=−2x+3 . how do these equations compare to line a? parallel to line a perpendicular to line a neither parallel nor perpendicular to line a y=2x-1 y=-2x+5 y=1/2x+7

A.Neither perpendicular nor parallel to line a

B.Parallel to line a

C.Perpendicular to line a

Step-by-step explanation:

We are given that line a represented by the equation

Slope- intercept form of line is given by

Where m=Slope of line a

C=y- intercept

Comparing it  with the given equation then, we get

Slope of line a=-2

We know that

When two lines are parallel then their slopes are equal.

When two lines are perpendicular then

Slope of one line=

A.

Compare it with

We get slope of line,m=2

Slope of the line is opposite to slope of line a .

Hence, it is neither perpendicular nor parallel to  line a .

B.

Compare it with

m=-2

It is parallel to  line a because slope of both lines are equal.

C.

Compare it with

We get slope of line , m=

Slope of the line=

Hence, the line is perpendicular to the line a.

where are the options?

step-by-step explanation:

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square