An architect needs to determine the slope between two points on a ski lift. The two points have been identified as (15, 45) and (150, 60), where x is the horizontal distance and y is the vertical distance from the bottom of the lift. Assuming the lift runs in a straight line, what is the slope of the line between the two points?

(Write your answer in simplest form, using / for a fraction bar if needed.)

Question

An architect needs to determine the slope between two points on a ski lift. The two points have been identified as (15, 45) and (150, 60), where x is the horizontal distance and y is the vertical distance from the bottom of the lift. Assuming the lift runs in a straight line, what is the slope of the line between the two points? 

(Write your answer in simplest form, using / for a fraction bar if needed.)

anonymous · Answer

Here's the formula to find the slope:$$\frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }$$

anonymous · Answer

You should be able to solve it from there.

anonymous · Answer

??

anonymous · Answer

You really have no idea how to plug your values in? Really?

anonymous · Answer

Didn't they teach you this? I'd imagine they taught you if they're giving you this question.

anonymous · Answer

slope is "m" in the following formula:$$m = \frac{ y _{1} - y _{2} }{ x _{1} - x _{2} }$$where you have the given points:$$(x _{1}, y _{1})$$and $$(x _{2}, y _{2})$$which are:

(15, 45)

and

(150, 60)

Substitute and simplify.  You should be able to match up the variables and points from this.

anonymous · Answer

still confused

anonymous · Answer

Sigh

anonymous · Answer

What are you confused about specifically?

anonymous · Answer

everything lol

anonymous · Answer

I'm not about to give you the answer, I hope you know that. Here though, I'll plug your values in:$$\frac{ 60 - 45 }{ 150 - 15 }$$

Please tell me you know how to do that... and that you see what I did to plug the values in....

anonymous · Answer

Try to identify your points in regards to x1, y1, x2, y2.  In our posts, we have given a one-to-one correspondence.  You really wouldn't even need to know algebra to finish it off now.  Just substitute.  All you have to do is read our helps.  It's all there.  I can't imagine giving any further help without just giving away an answer, which we are not allowed to do.

anonymous · Answer

15/135??

anonymous · Answer

What's with the question mark?

anonymous · Answer

I'm asking if its right

anonymous · Answer

Correct.  Do you see how I plugged the values in though? And yes, don't question yourself when giving an answer.

anonymous · Answer

Also, you can simplify 15/135 I think.

anonymous · Answer

yes thank you very much

anonymous · Answer

uw.