MATH SOLVE

5 months ago

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

Accepted Solution

A:

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

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