SOLUTION: Okay I have no clue on how to do this.So here are the problems: Find the x-intercept of the line. 1.x-2y=4 2.2x-3y=6 3.-6x-4y=42 4.-x-5y=12 5.-13x-y=39 Find the y-intercep

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Question 171368: Okay I have no clue on how to do this.So here are the problems:
Find the x-intercept of the line.
1.x-2y=4
2.2x-3y=6
3.-6x-4y=42
4.-x-5y=12
5.-13x-y=39
Find the y-intercept of the line.
6.y=-3x+7
7.y=6x-24
8.2x-17y--51
Ill be thankful for any answers you can give me.

Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Okay I have no clue on how to do this.So here are the problems:
-----------
Comment: A METHOD is better than an answer.
-----------
Find the x-intercept of the line.
METHOD: To find the x-intercept, let y = 0; then solve for x, as follows:
1.x-2y=4
x-0 = 4
x = 4
-----------
2.2x-3y=6
2x -0 = 6
x = 3
---------------
etc.
3.-6x-4y=42
4.-x-5y=12
5.-13x-y=39
===================
Find the y-intercept of the line.
METHOD: To find the y-intercept, let x=0; then solve for y, as follows:
6.y=-3x+7
y = 0+7
y = 7
------------
7.y=6x-24
y = 0-24
y = -24
-------------
etc.
8.2x-17y--51
==================
Cheers,
Stan H.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
I'll do two of each to give you examples to work with


# 1



x-intercept



The x-intercept occurs when (graphically this is on the x-axis).


So to find the x-intercept, plug in and solve for x


Start with the given equation.


Plug in .


Multiply and 0 to get 0.


Simplify.


So the x-intercept is . Note: the x-intercept is in the form (some number, 0)


=====================================================


# 2


Start with the given equation.


Plug in .


Multiply and 0 to get 0.


Simplify.


Divide both sides by to isolate .


Reduce.


So the x-intercept is .


=====================================================


# 6



y-intercept



The y-intercept occurs when (notice how the opposite is the case for the x-intercept).


So to find the y-intercept, plug in and solve for y


Start with the given equation.


Plug in .


Multiply and to get .


Combine like terms.


So the y-intercept is . Note: the y-intercept is in the form (0, some number)



=====================================================


# 7


Start with the given equation.


Plug in .


Multiply and to get .


Combine like terms.


So the y-intercept is .


Note: you can see if the equation is in the form , then the y-intercept is simply (0,b). So we can avoid the work in problems #6, and #7 by just looking at the last value.

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