A graph which represents the given equation is: A. graph W
A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
In order to determine which graph represents the given equation, we would have to calculate the points that the straight line passes through:
When x = 0, we have:
-3x + 2y = 8
-3(0) + 2y = 8
2y = 8
y = 8/4
y = 2 ⇒ Points (0, 2).
When y = 0, we have:
-3x + 2(0) = 8
-3x = 8
x = -8/3 = 2.6 ⇒ Points (2.6, 0).
In conclusion, we can infer and logically deduce that a graph which represents the given equation is graph W with a diagonal curve that rises through (-5, -3.5), (-4, -2), (-3, -0.2), (-2, 1), (-1, 2.5), (0, 4) and (1, 5.5) on the x-y coordinate plane.
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