What is the slope of y = 23 - 4x?
Understand the Problem
The question is asking for the slope of the linear equation given in the form y = 23 - 4x. We will identify the coefficient of x as the slope.
Answer
The slope is $-4$.
Answer for screen readers
The slope is $-4$.
Steps to Solve
- Identify the form of the equation
The given equation is in the form of $y = mx + b$, where $m$ represents the slope and $b$ represents the y-intercept.
- Locate the coefficient of x
From the equation $y = 23 - 4x$, we can rearrange it to match the standard form: $$ y = -4x + 23 $$
- Determine the slope
In this rearranged equation, the coefficient of $x$ is $-4$. Therefore, the slope $m$ is given by: $$ m = -4 $$
The slope is $-4$.
More Information
The slope of a linear equation indicates how steeply the line rises or falls. A negative slope means that the line decreases as it moves from left to right.
Tips
- Confusing the terms; make sure to identify the coefficient of $x$ correctly.
- Not rearranging the equation into the standard slope-intercept form if needed.
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