SOLUTION: I am doing a summer packet and I need an example of how to do a specific group of questions the question is asking me to find the slope of each line. 15+3y=4x once i get an example

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Question 316663: I am doing a summer packet and I need an example of how to do a specific group of questions the question is asking me to find the slope of each line. 15+3y=4x once i get an example of how to do one of the problems i will be okay to do the rest of them. please help me i really need it.
Found 4 solutions by Fombitz, JBarnum, JenniferTutors, solver91311:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Convert the equation to slope-intercept form, y=mx%2Bb where m is the slope and b is the y-intercept.
15%2B3y=4x
3y=4x-15
y=%284%2F3%29x-5
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Slope: m=4%2F3
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.
Y-intercept: b=-5:(0,-5)
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.
.

Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
15%2B3y=4x you will want to set up equation in slope-intercept form y=mx+b
3y=4x-15 i subtracted 15
y=%284%2F3%29x-5 i divided by 3
this is in the correct form so now u can see where m=slope and b=yintercept
so highlight%28m=%284%2F3%29%29 and b=-5

Answer by JenniferTutors(83) About Me  (Show Source):
You can put this solution on YOUR website!
To find the slope of each line, you will need to change each equation into slope intercept form: y = mx + b
m = slope, b = y-intercept
For the example you provided: 15 + 3y = 4x
First, you would get 3y by itself by subtracting the 15 from the left and right side of the equation.
3y+=+4x+-+15
Now, you want to get 'y' completely by itself by dividing 3 into itself and each term on the right side of the equation.
3y%2F3+=+%284%2F3%29x+-+15%2F3
Simplify:
y+=+%284%2F3%29x+-+5
Now, you found the value of m, slope, which equals (4/3)

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Solve the equation for in terms of everything else. That is to say do whatever is necessary to put the equation in the following form:



Once you have done that, the slope is whatever the coefficient on (the in the equation above) turns out to be.

Your example:



Add to both sides:



Multiply both sides by



And there is the slope staring you right in the face right next to the .

John