Question

Which equation represents a line that is perpendicular to the line represented by 2x-y=7?

Answer 1

the correct question is
Which equation represents a line that is perpendicular to the line represented by 2x - y = 7?

A. y = -1/2x + 6
B. y = 1/2x + 6
C. y = -2x + 6
D. y = 2x + 6

we know that
if two lines are perpendicular
so
the slopes
m1*m2=-1

we have 
2x-y=7-------> y=2x-7------------> slope m1=2

find slope m2
m2=-1/m1------> m2=-1/2

the slope m of the perpendicular line must to be -1/2
so

 the answer is
y = -1/2x + 6

Answer 2

The equation that represents a line that is perpendicular to the line is y = -1/2x + 7

Equation of a line?

The standard equation of a line is expressed as y = mx + b

where:

• m is the slope
• b is the intercept

The slope of the line perpendicular is M = -1/m

Given the equastion 2x - y = 7. This can be written as:

-y = -2x - 7

y = 2x + 7

The slope the perpendicular lins M is -1/2

Hence the equation that represents a line that is perpendicular to the line is y = -1/2x + 7

Learn more on equation of a line here: https://brainly.com/question/13763238