find the rate of change for 5 + 3y = -2
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i meant 5x + 3y = -2
The rate of change is the slope of the line. The slope-intercept form of this line is
y = -5/3 x - 2/3
To find the rate of change, we need to isolate the variable "y" in the given equation.
Let's start by simplifying the equation:
5 + 3y = -2
To isolate the variable "y," we need to move the constant term (5) to the other side of the equation. We'll do this by subtracting 5 from both sides:
5 + 3y - 5 = -2 - 5
3y = -7
Next, we'll divide both sides of the equation by the coefficient of "y" (which is 3) to solve for y:
3y/3 = -7/3
y = -7/3
Now that we have the value of "y," we can say that there is no rate of change for this equation. The equation represents a single point on the graph, not a line. Therefore, there is no change in the value of y with respect to any other variable or factor.