For the following straight line equation, state what is the rate of change?
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For the following straight line equation, state what is the rate of change?
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: The equation is in the slope-intercept form , where is the slope.
Step 2: From the equation, the slope is the coefficient of , which is 5. This represents the rate of change for this line.
Step 3: Among the choices, the correct choice representing the rate of change is 5.
Therefore, the solution to the problem is
5
Look at the graph below and determine whether the function's rate of change is constant or not:
Slope (rate of change) tells you how steep the line is - it's the coefficient of x. The y-intercept tells you where the line crosses the y-axis - it's the constant term.
Rate of change and slope mean the same thing! Both describe how much y changes when x increases by 1. In , y increases by 5 for every 1 unit increase in x.
Use this memory trick: m comes before b in the alphabet, just like the coefficient of x comes before the constant term. Also remember: m = slope, b = y-intercept.
You need to rearrange the equation to get y by itself on one side. Once it's in slope-intercept form, the coefficient of x is your rate of change.
Yes! A negative rate of change means the line slopes downward from left to right. For example, in , the rate of change is -3.
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