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

Question

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

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2022-04-17T19:40:25+00:00 2 Answers 0

## Answers ( 2 )

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

y = -1/2x + 6

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