y = 1/4x - 2
Understand the Problem
The question presents a linear equation in slope-intercept form (y = mx + b). It defines a relationship between 'y' and 'x' where 'y' is expressed as a function of 'x'. Essentially, it describes a straight line on a coordinate plane with a slope of 1/4 and a y-intercept of -2.
Answer
$\frac{1}{4}$
Answer for screen readers
The slope is $\frac{1}{4}$.
Steps to Solve
- Identify the slope
The equation is in slope-intercept form, which is given by $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.
- Extract the slope from the equation
Comparing the given equation $y = \frac{1}{4}x - 2$ with the slope-intercept form $y = mx + b$, we can identify the slope $m$.
- State the slope
The slope $m$ is $\frac{1}{4}$.
The slope is $\frac{1}{4}$.
More Information
The slope of a line indicates its steepness and direction. A positive slope means the line goes upwards from left to right, while a negative slope means it goes downwards. A slope of zero indicates a horizontal line, and an undefined slope indicates a vertical line.
Tips
A common mistake is confusing the slope and the y-intercept. The slope is the coefficient of $x$, while the y-intercept is the constant term. In the equation $y = \frac{1}{4}x - 2$, $\frac{1}{4}$ is the slope and $-2$ is the y-intercept.
AI-generated content may contain errors. Please verify critical information
