Write the equation of the line that is perpendicular to y=2x-7 and passes through the point (6, 5) A. y=2x-2
B. y= -1/2x+8
C. y=-1/2x-8
D. y=2x=2

B

Step-by-step explanation:

we are given a equation of a line

we want to figure out the equation of the perpendicular line passes through the (6,5) points

in order to do so

recall that,

we got from our given equation that m=2

because equation of a line is y=mx+b

thus

remember that, when we want to figure out perpendicular line or parallel line we should the formula given by

since we got our perpendicular m is -½, and , substitute

to get the perpendicular equation you should simplify the above equation to y=mx+b form

distribute -½:

add 5 to both sides:

hence,

our answer choice is B

i believe the answer is c.