Answer:
m⊥ = –½
Step-by-step explanation:
First, put the given equation in slope-intercept form:
2x – y = –6
–y = –2x – 6
y = 2x + 6
The slope of the line perpendicular to the line given will be the negative reciprocal of the given line's slope, so:
If m = 2, then m⊥ = its negative reciprocal:
m · –1
2 · –1
–2 → –½
So, the negative reciprocal of 2 is –½.
