Given the linear function:
What is the rate of change of the function?
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Given the linear function:
What is the rate of change of the function?
The problem asks to find the rate of change of the linear function . This function is in the form of , where:
For the function , we can compare it with the standard form to identify:
.
Therefore, the rate of change of the function is determined by the coefficient of , which is 1.
Hence, the rate of change of the function is .
The correct answer is: .
Look at the linear function represented in the diagram.
When is the function positive?
In form, the slope is always the coefficient of x. Since can be written as , the slope is 1 and the y-intercept is -4.
A slope of 1 means the line rises 1 unit up for every 1 unit right. It's a 45-degree angle going upward from left to right!
When you see just x (like in ), there's an invisible 1 in front of it. So , making the slope equal to 1.
Yes, for linear functions! Rate of change and slope are the same thing - they both measure how much y changes when x increases by 1.
You'll need to rearrange it first. Solve for y to get it in slope-intercept form, then identify the coefficient of x as your slope.
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