Answer: Not parallel
Step-by-step explanation
Solve each equation for y.
- 3x-y = 4 solves to y = 3x-4
- -5x+y = 4 solves to y = 5x+4
Compare each result to the slope-intercept form y = mx+b
The slopes are m = 3 and m = 5, which are not equal, which means that the lines are not parallel.
Recall that parallel lines occur when the slopes are equal, but the y intercepts are different. Example: y = 2x+3 and y = 2x+4 are parallel.
Desmos can be used to verify the answer. GeoGebra is another good option. If you prefer using a TI83 or TI84 (or similar), then you can stick to that.