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llroberts43
 one year ago
How do I find the equation of a line that passes through (2,1) and (1, 6)? I have to put it in slope intercept form
llroberts43
 one year ago
How do I find the equation of a line that passes through (2,1) and (1, 6)? I have to put it in slope intercept form

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calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0\[\large y = mx+b\] m = slope b = yintercept

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0First, I suggest you to figure out the slope.

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0Do you know how to?

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0Okay so we will go with that.

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0Now that we have the slope as 5, we can substitute m for that. \[\large y = 5x + b\] Usually, in this case, what I would do is choose a coordinate from the two that are already given. So we will use (2,1)... As you can see that with 5 there is a "x". We will substitute that x with 2 and the y before the equal sign will be replaced with the ycoordinate (or 1). \[\large 1 = 5(2) + b\] Now you need to solve for b.

llroberts43
 one year ago
Best ResponseYou've already chosen the best response.0So I'm multiplying 5 and 2 and that gives me 10

llroberts43
 one year ago
Best ResponseYou've already chosen the best response.0I don't know how to solve for b...I don't know what to do next

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0\[\large 1 = 10 + b\] \[\large 1  10 = 10  10 + b\] \[\large 11 = b\] Let's check this now: \[\large 1 = 5(2)  11 => 1 = 10  11 => 1 = 1\]

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0\[\large 6 = 5(1) 11 => 6 = 5  11 => 6 = 6\]

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0So your slope intercept form is \[\large y = 5x  11\]

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0Do you understand how I got it? @llroberts43

llroberts43
 one year ago
Best ResponseYou've already chosen the best response.0sorry I'm at work...trying to get off the phone so I can look

llroberts43
 one year ago
Best ResponseYou've already chosen the best response.0Ok, you subtracted 10 from both sides and that gave you the 11

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0we needed to isolate b

llroberts43
 one year ago
Best ResponseYou've already chosen the best response.0Thank you. I have a final on this stuff today and I'm just stressed out. I don't remember doing this stuff

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0It's okay .. take a deep breath and you will be fine.. just review the work that I did in here.

llroberts43
 one year ago
Best ResponseYou've already chosen the best response.0I will. thanks again
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