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? in progress 0 All 7 months 2022-04-17T19:40:25+00:00 2022-04-17T19:40:25+00:00 2 Answers 0

## Answers ( 2 )

the correct question is

Which equation represents a line that is perpendicular to the line represented by 2x – y = 7?A. y = -1/2x + 6B. y = 1/2x + 6C. y = -2x + 6D. y = 2x + 6we 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 isy = -1/2x + 6The

equationthat 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:

slopenterceptThe 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

perpendicularlins M is -1/2Hence the

equationthat represents a line that isperpendicularto the line isy = -1/2x + 7Learn more on

equation of a linehere: https://brainly.com/question/13763238