Answer:
Step-by-step explanation:
First, identify the slope.
We are given the line y=7x-5.
This is in slope intercept form or y=mx+b where m is the slope and b is the y-intercept. So, the coefficient to x, or 7 in this case, is the slope.
- m=5
Now, find the parallel and perpendicular slopes.
1. Parallel Slope
Parallel lines never intersect, so they have the same slope. A parallel line has a slope of 7.
2. Perpendicular Slope
Perpendicular slopes intersect to form right angles. They have negative reciprocal slopes.
- Negate the slope: 7⇒ -7
- Find the Reciprocal (flip the numerator and denominator: -7/1 ⇒ -1/7
A parallel line has a slope of 7 and a perpendicular line has a slope of -1/7.