Questions: Consider the line (y=9 x-4)
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Slope of a parallel line:
Slope of a perpendicular line:
Transcript text: Consider the line $y=9 x-4$
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Slope of a parallel line:
Slope of a perpendicular line:
Solution
Solution Steps
Step 1: Identify the Slope of the Given Line
The given line equation is y=9x−4. The slope-intercept form of a line is y=mx+b, where m is the slope. Therefore, the slope of the given line is m=9.
Step 2: Determine the Slope of a Parallel Line
Lines that are parallel have the same slope. Thus, the slope of a line parallel to the given line is also 9.
Step 3: Determine the Slope of a Perpendicular Line
The slope of a line perpendicular to another line is the negative reciprocal of the slope of the original line. The negative reciprocal of 9 is −91.