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Answer:
<em>Graph below</em>
Step-by-step explanation:
<u>Graph of a Function</u>
We are given the function
y = f(x) = -4/3x + 8
Since this is the equation of a line, we only need two points to draw the graph, but we'll calculate some points more.
Select values for x={-3, 0, 3, 6, 9}
For x=-3:
y = -4/3(-3) + 8 = 4 + 8 = 12
Point (-3,12)
For x=0:
y = -4/3(0) + 8 = 0 + 8 = 8
Point (0,8)
For x=3:
y = -4/3(3) + 8 = -4 + 8 = 4
Point (3,4)
For x=6:
y = -4/3(6) + 8 = -8 + 8 = 0
Point (6,0)
For x=9:
y = -4/3(9) + 8 = -12 + 8 = -4
Point (9,-4)
Now plot the points in a rectangular grid and join them. The graph is shown below.
