SOLUTION: Hello, can you help me solve this graphing problem? I need to find the x and y intercepts and then graph -x+4y=4 and y = -4x-4.How do I go about finding out the intercepts, what

Question 116327: Hello, can you help me solve this graphing problem? I need to find the x and y intercepts and then graph -x+4y=4 and y = -4x-4.How do I go about finding out the intercepts, what do they want me to do? This is from my homework and is not in a book.Can you help me please and explain step by step?
Thanks
chama
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Chama ---
.
You probably can just about do these problems in your head once you understand what is going on.
.
Begin by thinking about the coordinate system of axes. A point on the y-axis must have a corresponding
x value of zero. For example, what is the coordinate pair that corresponds to the point +5
on the y-axis. The pair is (0, +5). That means that for a given linear function if you set x
equal to zero, y will equal the intercept value on the y-axis.
.
Similarly, any point on the x-axis will have zero for its y value. Example, the point (-3, 0)
is on the x-axis. So if you set y equal to zero in the given function, the corresponding
value of x will be on the x-axis.
.
Think about that until you understand the basic concept. Now let's do the problems.
.
First problem ... given -x + 4y = 4
.
Find the y-intercept by setting x equal to zero and you get 4y = 4. Solve for y by dividing
both sides by 4 to get y = 1. So the graph crosses the y-axis at +1.
.
Next, find the x-intercept by setting y = 0 and you get -x = 4 which becomes x = -4. So the
graph crosses the x-axis at -4.
.
You can graph this line by plotting the x-intercept point on the x-axis and the y-intercept
point on the y-axis and the drawing a straight line running through these two points.
The graph of -x + 4y = 4 shows these values with the graphed line running through them:
.

.
Second problem. Given: y = -4x -4
.
Set x equal to zero and the function becomes y = -4. So the y-intercept is -4.
.
Then set y = 0 and you get 0 = -4x - 4. Add 4 to both sides and you have 4 = -4x.
Divide both sides by -4 and you have -1 = x. So the x-intercept is at -1.
.
The graph is:
.

.
and it shows the intercepts we found.
.
Hope this helps you to understand the problems and how to solve them.
.

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