Write an equation for a line perpendicular to 2 y − 4 x = 10 and passing through the point (-2,-1)

Answer 1

Hello,

First to answer this question we must manipulate the given equation into slope intercept form.

y=mx+b

where m is the slope and b is the y intercept.

So for this problem that would be:

2y-4x=10

add the 4x to both sides

2y=4x+10

and divide both sides by 2

y=2x+5

Now we need to find the perpendicular slope. To do this we simply find the opposite reciprocal of the given line's slope.

For this equation that would be:

m= -1/2

We are also given a set of coordinates as well and we know that b is equal to the y intercept so we simply plug the y coordinate of the given set of coordinates in as b.

That leaves us with a final equation of:

y= -1/2 x -1

I hope this helps you out. Please let me know if you have any other questions.

-Amanda G.