Answer:
A parallel y = 3x-1
B perpendicular y = -1/3x+9
Step-by-step explanation:
y = 3x-4 is written in slope intercept form (y=mx+b) so the slope is 3.
A. If the lines are parallel they have the same slope
m parallel is 3
Using point slope form
y-y1 = m(x-x1)
y-8 = 3(x-3)
Distribute
y-8 = 3x-9
Add 8 to each side
y-8+8 = 3x-9+8
y = 3x-1
This is slope intercept form
B If we want perpendicular lines, the slope is the negative reciprocal
m perpendicular is -(1/3) = -1/3
Using point slope form
y-y1 = m(x-x1)
y-8 = -1/3(x-3)
Distribute
y-8 = -1/3x+1
Add 8 to each side
y-8+8 = -1/3x+1+8
y = -1/3x+9
This is slope intercept form
Answer:
-1
Step-by-step explanation:
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