Write the equation of the line that is perpendicular to the line y = three halvesx + 4 and passes through the point (−6, 3).

y = three halvesx − 1

y = three halvesx + 3

y = −two thirdsx − 1

y = −two thirdsx + 3

Question

Write the equation of the line that is perpendicular to the line y = three halvesx + 4 and passes through the point (−6, 3). 

 y = three halvesx − 1 

 y = three halvesx + 3 

 y = −two thirdsx − 1 

 y = −two thirdsx + 3

anonymous · Answer

@gypsy1274  This is the second to last problem, I think I got it, but I am not to sure.

debbieg · Answer

what do you think the answer is?

anonymous · Answer

So we, would start out with y-y1 = m (x-x1) right? and I am not sure.

anonymous · Answer

Yes, but remember what a perpendicular slope is...

anonymous · Answer

Is it set up like y-3 = 3/2 (x-(-6))

debbieg · Answer

That would give you a line parallel to the given line. What is the relationship between the slope of the line given in the problem (3/2) and the slope of a line that is perpendicular to it?

anonymous · Answer

Y + 3 = 3/2 (x- 6) ?

anonymous · Answer

Your first equation was closer. It is the slope....

anonymous · Answer

What do you know about a perpendicular slope? Draw a set of perpendicular lines on a graph and find their slopes.

anonymous · Answer

Oh! Do I have to flip the fraction?

anonymous · Answer

Perpendicular slope = negative reciprocal

anonymous · Answer

Oh so - 2/3

anonymous · Answer

Now, you got it!!

anonymous · Answer

Ok! let me try this out!

anonymous · Answer

I got;
Y= -2/3-1

anonymous · Answer

So did I.  Great job!!

anonymous · Answer

Wooo! I have one more problem, which Is  a word problem.

anonymous · Answer

Be sure to pick the x back up off the floor!!

anonymous · Answer

Explain, in complete sentences, the relationship between the equations of parallel lines.

anonymous · Answer

Think about the slope.

anonymous · Answer

You distribute the slope in both of the problems?

anonymous · Answer

Think about the relationship of the slopes of parallel lines.

anonymous · Answer

$y=6x+4$ is parallel to $y=6x-7$

anonymous · Answer

Ohh, so they are parallel to each other? and you can graph them on the same chart?

anonymous · Answer

Yes.

anonymous · Answer

Do you feel like you understand?

anonymous · Answer

I do :)

anonymous · Answer

Great!

anonymous · Answer

Thank you! I got 100% on that test!

anonymous · Answer

Great. If you can, try to do some more similar problems tomorrow to make sure you remember and understand.

anonymous · Answer

OK, thank you :)

anonymous · Answer

Your welcome.