Question 394746: know nothing about this linear funtions stuff at home sick but feeling better now and no math book. Here is one- y=-1/2x+3 it says to create a table with 5 coordinate points and sketch the graph that it represents
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Here is one- y=-1/2x+3 it says to create a table with 5 coordinate points and sketch the graph that it
:
Using the given equation choose 5 values for x and find y, plot these x,y points on a graph
:
We choose x value of -4, -2, 0, 2, 4:
I chose even values because the equation has a fraction, this will give us integer values for y
:
y=  x + 3
x = -4
y =  (-4) + 3
y = +2 + 3
y = 5
the first coordinate point: -4, 5
:
x = -2
y = (-2) + 3
y = 1 + 3
y = 4
the 2nd coordinate point: -2, 4
:
x = 0
y = (0) + 3
y = 3
the 3rd coordinate point: 0, 3
:
x = 2
y = (2) + 3
y = -1 + 3
y = 2
the 4th coordinate point: 2, 2
:
x = 4
y = (4) + 3
y = -2 + 3
y = 1
the 5th coordinate point: 4, 1
:
To put this in a table
x | y
-------
-4 | 5
-2 | 4
0 | 3
+2 | 2
+4 | 1
:
Plot these points on a standard graph, you should be able to join these points with a straight line.
it should look like this:
:
A note on linear equations, there's a constant change in y for each change in x
You can see on the table, a 2 unit change in x, gives a 1 unit change in y
This is determined by the slope, which in this equation is -1/2. If the slope
is positive, the line goes upward, if it is negative like we have here is goes downward
:
Anyway, glad you are feeling better and that this will help you, Carl
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