What is the slope of a line perpendicular to y=2/3x-7? What is the slope of a line parallel to y=2/3x-7?
The slope of the line y = (2/3)x - 7 is 2/3.
Any parallel line must have the same slope.
Any perpendicular line must have slope -1/(2/3) = ?
To find the slope of a line perpendicular to another line, you need to take the negative reciprocal of the slope of the given line.
1. Start with the equation of the given line: y = (2/3)x - 7
2. The given line is in the form y = mx + b, where m represents the slope.
3. Identify the slope of the given line, which is 2/3 in this case.
4. To find the slope of a line perpendicular to this line, calculate the negative reciprocal of the slope. The negative reciprocal of 2/3 is -3/2. Therefore, the slope of the line perpendicular to y = (2/3)x - 7 is -3/2.
To find the slope of a line parallel to another line, you simply use the same slope as the given line.
1. Using the equation y = (2/3)x - 7, the slope of the given line is again 2/3.
2. Therefore, the slope of a line parallel to y = (2/3)x - 7 is also 2/3.