give the equation of a line that is perpendicular to y= 2x+3

Question

a.   x+2y=6

b.   x-2y=-6

c.   2y=-1/2x+2

d.   y=2x-1/3

 

 

 

Which one is it please answer quickly i need help quick

Answer 1

you're looking for a line that has a slope of m = -1/2 because you want it to be the negative reciprocal of 2. that ends up being option (a):

x + 2y = 6

2y = -x + 6

y = -1/2x + 3

so it is the choice out of the list that has a slope of m = -1/2

Answer 2

The line passes through (0,3) , the y-intercept. You did not specify where, so we'll use that, since time is of the essence.

 

The slope of the perpendicular line is -1/2, the negative reciprocal of 2.

 

y = mx+b --->  b = y - mx with y = 3, x=0, and m = -1/2

 

  B = 3 - (-1/2)(0)  = 3

 

So the perpendicular line has equation y = -1/2X + 3