Answer:
Slope of the line that is parallel: 2
Slope of the line that is perpendicular:
Explanation:
For the parallel line:
Rewrite your equation to slope-intercept form: y = mx + b
y = mx + b
- m = slope
- b = y-intercept (when x = 0)
2x - y = 1 <== subtract 2x to both sides
-2x -2x
-y = -2x + 1 <== divide both sides by -1
/-1 /-1
y = 2x - 1
The slope of the line that is parallel to this line is 2.
For the perpendicular line:
*Perpendicular lines have negative reciprocals*
Steps:
1. Take your original slope (2)
2. Flip it (1/2)
3. Change the sign (-1/2)
For a slope of 2, the reciprocal would be:
Hope this helps!