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Help me please i dont understand

Help me please i dont understand-example-1

1 Answer

8 votes

Answer:

6/5 or 1.2, they're the same value

Explanation:

When it says "rate of change", it's really just asking for the slope. If you don't know what the slope is, essentially how much the y-value increases by whenever x increases by 1. This can be formally defined using the equation:
(y_2-y_1)/(x_2-x_1) which is essentially
(rise)/(run). The subtraction is finding the difference between the two numbers to see how much it's changed by. Btw the order doesn't matter, I could plug in (-3, -2) as (x2, y2) or I could plug it in as (x1, y1) as long as I make sure to input it in correctly. In this example I'll just say (-3, -2) = (x1, y1) and (2, 4) = (x2, y2). Plugging these values into the equation gives you:
(4- (-2))/(2- (-3)) = (6)/(5) that's the rate of change

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