Download PARALLEL LINES PERPENDICULAR LINES NEGATIVE

PARALLEL LINES
Step
Step
Step
Step
1:
2:
3:
4:
Solve the given equation for y . (y = mx + b)
Plot the given point on a graph.
Apply the slope from Step 1 to the plotted point. Find the y -intercept.
Write the equation of the parallel line using the slope from Step 1 and the y -intercept from Step 3.
PERPENDICULAR LINES
Step
Step
Step
Step
Step
1:
2:
3:
4:
5:
Solve the given equation for y . (y = mx + b)
Using the slope from Step 1, find the negative reciprocal.
Plot the given point on a graph.
Apply the negative reciprocal slope from Step 2 to the plotted point. Find the y -intercept.
Write the equation of the perpendicular line using the negative reciprocal slope from Step 2 and
the y -intercept from Step 4.
NEGATIVE RECIPROCAL
The negative reciprocal of a fraction is the flip of the fraction with the opposite sign.
Original Fraction
Negative Reciprocal
1.
a
b
−
b
a
2.
2
7
−
7
2
3.
6
−
1
6
4.
−
1
5
5
1
Find the parallel and perpendicular equations, to the given line, through the given point.
1. y = 2x − 2 and (−3, 5)
1
2. y = x + 3 and (−4, 2)
2
3. x − y = 2 and (−2, 3)
4. y − x = −1 and (−2, 1)
5. x + 3y = 6 and (−1, 1)
6. 3x + 2y = 6 and (2, −1)
7. 4x = 5y − 3 and (1, −1)
8. 3x − 4y = 12 and (4, −2)