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?
To identify the rate of change of the linear function , we need to determine the slope of the equation.
The given function is in the form of , where is the slope or rate of change.
In the equation , we notice that it can be rewritten as . Comparing this with the standard form , we find that the coefficient of is -3, meaning .
Therefore, the rate of change of this linear function is .
Thus, the correct answer is .
What is the solution to the following inequality?
\( 10x-4≤-3x-8 \)
The slope is -3 because of the negative sign in front of the 3x term. A negative slope means the line goes downward from left to right - as x increases, y decreases.
In , the slope (m) tells you how steep the line is, while the y-intercept (b) tells you where the line crosses the y-axis. Here, slope = -3 and y-intercept = 7.
No! Whether you write or , it's the same equation. The slope is still the coefficient of x, which is -3.
Look for the number attached to x! In any linear equation, the coefficient of x is always the slope. If there's no visible number, like in y = x + 2, the coefficient is 1.
A slope of -3 means for every 1 unit you move right, you go down 3 units. It's like going down a steep hill - the rate of change is 3 units down per 1 unit across.
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