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What is the rate of change for (5,-2)/(2,4)

User UberJumper
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Final answer:

The rate of change for the points (2,4) and (5,-2) is calculated using the slope formula and results in a rate of change of -2. This indicates a decrease in y by 2 units for each unit increase in x.

Step-by-step explanation:

The rate of change in Mathematics usually refers to the slope of a line or the derivative in calculus. In this case, the notation (5,-2)/(2,4) suggests a slope calculation, where the first coordinate represents a point in the 2-dimensional plane and the second represents another point. To find the rate of change, we calculate the slope using the formula:

Slope (m) = (y2 - y1) / (x2 - x1)

Where (x1, y1) = (2, 4) and (x2, y2) = (5, -2). We subtract the y-values and the x-values:

m = (-2 - 4) / (5 - 2) = -6 / 3 = -2

Hence, the rate of change for the given points is -2, which means for every unit increase in x, the y value decreases by 2 units.

User Robert Menteer
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