Answer: These lines are perpendicular
Explanation:
Let's use slope intercept form, y=mx+b (m=slope, b=y intercept)
Parallel lines have the same slope, or m
- y=3x+7 and y=3x+32 are parallel because they have the same m
Perpendicular lines have an opposite reciprocal slope
- y=2x+13 and y= -1/2+2 are perpendicular because they are reciprocals
y=-2x+1 is already in slope intercept form. Let's change the other problem
- -2x+4y=5
- isolate the y, 4y=2x+5
- make y by itself, y=2/4x+5/4 or y=1/2x+5/4
Here are the two problems: y=-2x+1 and y=1/2x+5/4
Look closer. These lines are actually perpendicular.
Take the second problem's slope, 1/2. Make it a negative reciprocal, which means -2/1 or -2. These lines are perpendicular.