What is the slope of y = 23 - 4x?

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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

  1. 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.

  1. Locate the coefficient of x

From the equation $y = 23 - 4x$, we can rearrange it to match the standard form: $$ y = -4x + 23 $$

  1. 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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