What is the slope of the graph of y = 12x - 19?
Understand the Problem
The question is asking to find the slope of the graph represented by the equation y = 12x - 19. The slope of a linear equation in the form y = mx + b is represented by the coefficient m of x.
Answer
12
Answer for screen readers
The slope of the graph of $y = 12x - 19$ is $12$.
Steps to Solve
- Identify the slope in the equation
The given equation is $y = 12x - 19$. In the slope-intercept form of a linear equation, $y = mx + b$, $m$ represents the slope.
- Extract the slope value
From the equation $y = 12x - 19$, we can identify that the coefficient of $x$ (which is $m$) is 12.
- Conclude the slope
Thus, the slope of the graph is simply $12$.
The slope of the graph of $y = 12x - 19$ is $12$.
More Information
The slope indicates the steepness of the line on the graph. A slope of $12$ means that for every unit increase in $x$, $y$ increases by $12$ units.
Tips
- Misidentifying the slope by confusing the constant term $b$ with the slope $m$.
- Forgetting that the slope is the coefficient of $x$, sometimes leading to mistakes in interpreting the equation.
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