How can you tell an equation is linear? Example: 22x-14y=65
1 answer:
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Answer:
Step-by-step explanation:
We have 2 equations represented by the lines on the graph
5x + 4y = 20
2x - 6y = 12
To plot the first equation on the graph, we a assume different points
4y = 20 - 5x
y = (20-5x)/4
y = 5 - 5x/4
If x =0, y = 5
If x = 2, y = 2.5
If x = 4, y = 0,
These points corresponds to the first line that cuts the positive y axis.
The first line that cuts the positive y axis is represented by the equation,
5x + 4y = 20
Since the left region of the line representing equation is shaded, the unshaded side represents
5x + 4y lesser than 20
To plot the second equation on the graph, we a assume different points
-6y = 12-2x
y = (2x-12)/6 = x/3 - 2
if x= 0, y = -2
If x = 3,y = 1
These points corresponds to the second line that cuts the negative y axis.
The second line that cuts the negative y axis is represented by the equation,
2x -6y = 12
Since the downward region of the line representing the equation is shaded, the unshaded side represents
2x -6y greater than 12
