# Tutor.com Linear Functions Session

##### Aug. 29, 2013

Session Transcript - MTH/208 - MTH/208, 6/6/2013 5:40PM - Tutor.comSession Date: 6/6/2013 5:40PM
Length: 14.7 minute(s)
Subject: MTH/208 - MTH/208

System Message
[00:00:00] *** Please note: All sessions are recorded for quality control. ***

KELLI (Customer)
[00:00:00] sketch a line with the given slope m and y- intercept b write it's slope intercept form m=1/4,b=-5

Kelli L (Tutor)
[00:00:07] Welcome to Tutor.com ! Let's get started.

KELLI (Customer)
[00:00:30] haha kelli is my name too. spelled the same

Kelli L (Tutor)
[00:00:44] Nice! That almost never happens.
[00:00:51] Have you done problems like this before?

KELLI (Customer)
[00:00:57] no

Kelli L (Tutor)
[00:01:22] Okay, would you like to go through it together or see an example first?

KELLI (Customer)
[00:01:52] lets just go for it my bottom is starting to hurt

Kelli L (Tutor)
[00:02:05] haha, alright then
[00:02:14] Do you know what the slope of a line tells us?

KELLI (Customer)
[00:02:20] no

Kelli L (Tutor)
[00:02:48] You can think of slope as telling us how "steep" a line is

KELLI (Customer)
[00:03:01] ok that i get

Kelli L (Tutor)
[00:03:20] Have you ever heard the phrase "rise over run"?

KELLI (Customer)
[00:03:30] kinda

Kelli L (Tutor)
[00:03:53] Okay, that just means that the top number tells us how many units to go up (or down if the number is negative)
[00:04:12] and the bottom number tells us how many units to go to the right
[00:04:41] For example, if I had a slope of 2/3, I would go up 2 and right 3 spaces
[00:04:52] Any questions about slope so far?

KELLI (Customer)
[00:04:58] nope

Kelli L (Tutor)
[00:05:10] Great!
[00:05:30] Do you remember what b (y-intercept) tells us about the line?

KELLI (Customer)
[00:05:55] that it's neg?

Kelli L (Tutor)
[00:06:05] Yes, it's negative in this case
[00:06:18] b, the y-intercept, tells us where the line crosses the y-axis
[00:06:32] For this line, b=-5
[00:06:42] Any guesses where we'd put that point?

KELLI (Customer)
[00:07:01] rite here?

Kelli L (Tutor)
[00:07:08] yes, perfect!
[00:07:11] Good work!
[00:07:37] Now, our slope is 1/4, where do you think another point might be?

KELLI (Customer)
[00:08:02] ??

Kelli L (Tutor)
[00:08:22] That's a good try, but let's take another look
[00:08:34] 1/4 means we go up 1 unit, then right 4 units
[00:08:37] I can show you

KELLI (Customer)
[00:08:47] ok ill try it

Kelli L (Tutor)
[00:08:56] Great!

KELLI (Customer)
[00:09:14] oh so we start from the point?

Kelli L (Tutor)
[00:09:29] Yep! Sorry, I forgot to mention that part.
[00:09:36] Yeah, that's perfect!
[00:09:50] When we connect those two points, that'll be our line
[00:10:06] We can plot more points if we want to, but two points is all we need to graph a line
[00:10:08] Very good!

KELLI (Customer)
[00:10:22] ok so thats it?

Kelli L (Tutor)
[00:10:24] Do you have any questions about graphing a line given the slope and the y-intercept?

KELLI (Customer)
[00:10:31] nope

Kelli L (Tutor)
[00:10:33] Yep, that's all there is to graphing it

KELLI (Customer)
[00:10:41] k thanx

Kelli L (Tutor)
[00:10:47] Do you know how to write the equation in slope-intercept form?

KELLI (Customer)
[00:10:57] no

Kelli L (Tutor)
[00:11:18] Okay. Slope-intercept form of a line looks like this:
[00:11:22] y=mx+b
[00:11:34] m is the slope and b is the intercept (including the sign)
[00:11:45] Do you want to replace m and b with the values we were given for this problem?

KELLI (Customer)

Kelli L (Tutor)
[00:12:10] Well, we have to put the numbers in for m and b

KELLI (Customer)
[00:12:21] ok

Kelli L (Tutor)
[00:12:31] Do you want to give that a try?

KELLI (Customer)
[00:12:40] no not really

Kelli L (Tutor)
[00:13:02] Alright. You've done great so far
[00:13:31] All we have to do is replace m with 1/4
[00:13:34] and b with -5

KELLI (Customer)
[00:13:52] ok ive done that on my paper.

Kelli L (Tutor)
[00:14:05] Awesome!
[00:14:10] Do you have any questions about anything we went over today?

KELLI (Customer)
[00:14:17] no thanx

Kelli L (Tutor)
[00:14:23] Alright, great job!
[00:14:27] Thanks for using Tutor.com.Â Please fill out the survey as you leave so we can learn how we can better help you in the future!Â
[00:14:31] Take care!

KELLI (Customer)
[00:14:35] you too