Yes, the given equation represents a linear graph because it is in the form of a linear equation. To determine if it is a function, we need to check if each x-value corresponds to exactly one y-value.
To test if the graph is a function, we can rewrite the equation in terms of y:
3y = -2x + 39
y = (-2/3)x + 13
Since the equation is in the form y = mx + b, where m is the slope and b is the y-intercept, we can see that for each x-value, there is only one corresponding y-value. Therefore, the graph is a function as well.
a graph has the equation 2x + 3y = 39, is this graph linear? is it a function?
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