What is the slope of a line that passes through the point (−5, 3) and is parallel to a line that passes through (2, 13) and (−4, −11)?

Question

nincompoop · Answer

first, identify the slope of the second line with (2,13) (-4, -11)

anonymous · Answer

I forgot how to do that...

nincompoop · Answer

$$slope = \frac{\Delta y}{\Delta x}=\frac{y_{final}-y_{initial}}{x_{final}-x_{initial}}$$

nincompoop · Answer

do you recall now?

anonymous · Answer

Yes

nincompoop · Answer

okay solve for the slope of the second line

only4u · Answer

slope of two parallel lines are same

anonymous · Answer

So I do 13-11/2-4?

nincompoop · Answer

@only4u you can move on to a different question now, I got this

nincompoop · Answer

I think you're forgetting the proper signs, candee

only4u · Answer

it will be 4

nincompoop · Answer

-11 and -4 correct? 
$$slope = \frac{(13)- (-11)}{(2) - (-4)}$$

nincompoop · Answer

see how I didn't leave out the signs ?

anonymous · Answer

Okay so after I subtract -11 and 4 will I have my answer?

nincompoop · Answer

you will get your slope

nincompoop · Answer

@only4u is itching to teach you properly

nincompoop · Answer

he is frustrated that you are not learning fast enough

only4u · Answer

yes :) exactly :)

anonymous · Answer

So the answer is 4

nincompoop · Answer

okay you can leave now, we want to do this slowly and precisely

nincompoop · Answer

okay 
slope of the second line is 4 

NOTE that parallel lines have the same slope 

so this implies that the first line with the point (-5, 3) has the same slope

do you accept this?

anonymous · Answer

Yes! Thank you so much for  your help

only4u · Answer

u r always welcome candee :)

nincompoop · Answer

okay so there are two things involved in this concept
the relationship of the slope of parallel lines 
and the relationship of the slope of perpendicular lines

so you can move on to your other slope question 

BEAR in mind that perpendicular lines have negative reciprocal slopes
what do I mean? 

when one of the lines have a slope of 3 (the same as 3/1), the other line that is perpendicular would have a slope of -1/3 

another example

when one of the lines have a slope of 1/5, then the other line that is perpendicular would have a slope of -5 

REMEMBER: negative reciprocal

nincompoop · Answer

are you taking notes?

triciaal · Answer

@only4u "Don't just provide the answer to a problem when someone else is in the middle of helping! But if you want to help, by all means, join in!"