What is the slope of a line parallel to y = -8x + 4?
Understand the Problem
The question is asking to find the slope of a line that is parallel to the given line represented by the equation y = -8x + 4. To solve this, we need to identify the slope from the equation of the line.
Answer
The slope is $-8$.
Answer for screen readers
The slope of a line parallel to $y = -8x + 4$ is $-8$.
Steps to Solve
- Identify the slope of the given line
The slope of a line in the slope-intercept form $y = mx + b$ can be identified by the coefficient of $x$. In the equation $y = -8x + 4$, the slope $m$ is $-8$.
- Understand the property of parallel lines
Lines that are parallel to each other have the same slope. Therefore, the slope of any line parallel to the given line will be the same as that of the given line.
- Conclude the slope of the parallel line
Since the slope of the given line is $-8$, the slope of any line parallel to it is also $-8$.
The slope of a line parallel to $y = -8x + 4$ is $-8$.
More Information
In the slope-intercept form of a linear equation, the slope indicates how steep the line is. A slope of $-8$ signifies that for every unit increase in $x$, the value of $y$ decreases by $8$ units.
Tips
- Mixing up the slope-intercept form and the standard form of a linear equation.
- Failing to realize that parallel lines do not change slopes.
