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What is a parallel line?
Lines on the same plane that never intercept
SAME SLOPE
How do you find the slope of a parallel line?
Equation of a line that is parallel to y=2x-2 and passes through points (1,10)
ANS: y=2x+8
How do you find the slope of a parallel line?
Equation of a line that is parallel to the line 2x-4y=8 and passes through (3,0)
ANS: y=1/2x-3/2
How to find the equation of a parallel line.
1. Plug in points:
10=2(1)+b
2. Solve:
10=2+b
10-2=b
8=b
1. Find the slope of the equation:
y=2/4x-8/4
2.Simplify:
y=1/2x-2
3. Plug in points and solve:
0=1/2x(3)+b
0=3/2+b
-3/2=b
What is a perpendicular line?
Two lines that intercept to form a right angle
NEGATIVE RECIPROCAL SLOPE
How do you find the equation of a perpendicular line?
Equation of a line that is perpendicular to y=3/2x+4 and passes through (3,10)
ANS: y=-2/3x+12
How to find the equation of a perpendicular line.
Find the opposite reciprocal of the slop:
3/2 to -2/3
Plug points in and solve:
10=-2/3(3)+b
10=-2+b
12=b