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Question 89900This question is from textbook Beginning Algebra
: Good evening Tutor,
I am clueless as to solving this problem. I think I have gotten part of it but am not sure about graphing the slope.
Question is:
Write the equation of the line with given slope and y-interect. Then graph each line using the slope and y-intercept.
16.) Slope: -2; y-intercept: (0,4)
I solved and got y= -2x + 4 is this part correct? Next I do not know for sure how you graph this could you please explain it to me?
Thank you very much.
This question is from textbook Beginning Algebra
Found 2 solutions by jim_thompson5910, stanbon: Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! You found the right equation
Solved by pluggable solver: Graphing Linear Equations |
In order to graph we only need to plug in two points to draw the line
So lets plug in some points
Plug in x=-2

Multiply
Add
So here's one point (-2,8)

Now lets find another point
Plug in x=-1

Multiply
Add
So here's another point (-1,6). Add this to our graph

Now draw a line through these points
So this is the graph of through the points (-2,8) and (-1,6)
So from the graph we can see that the slope is (which tells us that in order to go from point to point we have to start at one point and go down -2 units and to the right 1 units to get to the next point), the y-intercept is (0, )and the x-intercept is ( ,0)
We could graph this equation another way. Since this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0, ).
So we have one point (0, )

Now since the slope is , this means that in order to go from point to point we can use the slope to do so. So starting at (0, ), we can go down 2 units

and to the right 1 units to get to our next point

Now draw a line through those points to graph 
So this is the graph of through the points (0,4) and (1,2)
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Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! I solved and got y= -2x + 4 is this part correct? Next I do not know for sure how you graph this could you please explain it to me?
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That equation is correct.
Plot at least two points to graph the equation:
If x=0, y=4
If x=1, y=2
If x=2, y=0
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Plot these and draw a line thru them to get the graph.

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Cheers,
Stan H.
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