NOTEBOOK TEMPLATE
Parallel and Perpendicular Lines Investigation (H)
PART A:
For each graph, write the slope, y-intercept and equations for both lines.
1) A: m:____________ b:______________ Equation:_________________________ B: m:____________ b:______________ Equation:_________________________ 2) 3) COPY AND COMPLETE THIS SENTENCE IN YOUR NOTEBOOK: These are examples of
____________ lines.
They will _________
intersect. C: m:____________ b:______________ Equation:_________________________ D: m:____________ b:______________ Equation:_________________________ ANSWER THE FOLLOWING IN COMPLETE SENTENCES IN YOUR NOTEBOOK:
4) What do you notice is always true about the slopes of these lines?
5) What do you notice about the y-intercept of these lines?
6) What do you think would happen if two parallel lines also had the same y-intercept?
!
7) Write the equation for the line that passes through (-6, 5) and is parallel to y=− !x-2.
PART B:
For each graph, write the slope, y-intercept and equations for both lines.
8) 9) A: m:____________ b:______________ Equation:_________________________ B: m:____________ b:______________ Equation:_________________________ C: m:____________ b:______________ Equation:_________________________ D: m:____________ b:______________ Equation:_________________________ 10) COPY AND COMPLETE THIS SENTENCE IN YOUR NOTEBOOK: The lines above are
examples of
______________ lines.
They will intersect at
_______ angles.
ANSWER THE FOLLOWING IN COMPLETE SENTENCES IN YOUR NOTEBOOK:
11) What do you notice is always true about the slopes of these lines?
12) What do you notice about the y-intercept of these lines?
13) What do you think would happen if two perpendicular lines also had the same yintercept?
!
14) Write the equation of the line that passes through (-6,5) and is perpendicular to y=!x-2?
15) COPY AND COMPLETE: For each number, record the opposite reciprocal:
2
a) − 5:______
b)
!
!
:______
c) 8:______
d) -11:_______
e)
!
!
:______