##### Like what you saw?

##### Create FREE Account and:

- Watch all FREE content in 21 subjects(388 videos for 23 hours)
- FREE advice on how to get better grades at school from an expert
- FREE study tips and eBooks on various topics

# Slope - Problem 2

FREE###### Carl Horowitz

###### Carl Horowitz

**University of Michigan**

Runs his own tutoring company

Carl taught upper-level math in several schools and currently runs his own tutoring company. He bets that no one can beat his love for intensive outdoor activities!

Another application of the slope equation is when we actually know one point in the slope, but we need to find another point.

So we're still going to use the same equation, slope is change of ys over change of xs, but this time we actually know that our slope is 1/2. So we know that this is equal to 1/2, plugging in the points that we know, so again we can choose either x to go first as long as we are consistent across the board.

So let's say we end up going with this point first, so we end up with 4 minus 1, over x minus 3 is equal to 1/2. So just plug in our slope equation, we now have our ratio 4 minus 1 is 3, so that x minus 3 is equal to 1/2.

There are a number of ways of solving this, we could cross multiply, we can multiply by a common denominator. The easiest way I think to do this is, we know that our numerator is 3, so if we make this numerator 3 as well, we could figure out what our denominators are, the numerator is equal, the denominators have to be equal as well.

So 1/2 is the same thing as 3 over 6. So we have 3 over x minus 3 is equal to 3 over 6, we know that the 3s are equal, so therefore we know that the x minus 3 has to equal 6. So going over here x minus 3 is equal to 6 add 3, you find out that x has to equal 9, so therefore if we have the point 9, 4 the slope is going to be 1/2 between 9 and 3, 1.

Please enter your name.

Are you sure you want to delete this comment?

###### Carl Horowitz

B.S. in Mathematics University of Michigan

He knows how to make difficult math concepts easy for everyone to understand. He speaks at a steady pace and his step-by-step explanations are easy to follow.

i love you you are the best, ive spent 3 hours trying to understand probability and this is making sense now finally”

BRIGHTSTORM IS A REVOLUTION !!!”

because of you i ve got a 100/100 in my test thanks”

##### Concept (1)

##### Sample Problems (5)

Need help with a problem?

Watch expert teachers solve similar problems.

## Comments (1)

Please Sign in or Sign up to add your comment.

## ·

Delete

## Tien Cu · 7 months, 3 weeks ago

i still dont get it how he could get the answer ?