Parallel
Given the following equation, what would be the parallel slope?
y=4x+7
4
What does opposite reciprocal mean?
Positive turns to negative, and vice versa
Fractions gets flipped
What do you look at in order to determine if lines are parallel or perpendicular?
The slope
What's the square root of 144?
12
What is the parallel slope to the following set of points?
{(0,0),(3,6),(8,16)}
2
What would the perpendicular slope be to the equation y=3x-1
-1/3
What is the parallel and perpendicular slope of the following equation?
y=-1/2x-8
Parallel: -1/2
Perpendicular: 2
I’m thinking of a line that never meets another, no matter how far we extend it.
It runs right alongside another line, always the same distance apart.
What kind of line am I?
A parallel line
What is the y-intercept of the line that is parallel to y=2x-4 and goes through the point (-2,0)
(0,4)
What is the y-intercept of the line that is perpendicular to y=2x-4 and goes through the point (-2,0)
(0,1)
Given the following equation, choose the perpendicular equations: y=3x-1
a. y=-3x+5
b. y=-1/3x-2
c. y=1/3x-8
d. y=-1/3x+10
b and d
What's the name of the Grinch's dog?
Max
What is the equation of the line that is parallel to y=1/2x-1 and goes through the point (6,-2)
y=1/2x-5
What is the equation of the line that is perpendicular to y=1/2x-1 and goes through the point (6,-2)
y=-2x+10
What is the perpendicular slope of the following equation?
y-3=8/9(x+3)
-9/8
I’m thinking of a number.
If you triple it and subtract 5, the result is 16.
What’s the number?
the number is 7
Given the following points, {(-3,1),(3,5)}
Write the equation of the PARALLEL line that goes through the point (3,-2).
y=2/3x-4
Given the following points, {(-3,1),(3,5)}
Write the equation of the PERPENDICULAR line that goes through the point (3,-2).
y=-3/2x+2.5
Given the equation: y=-2/5x-2
Give an example of a parallel equation AND a perpendicular equation.
Parallel equations needs to have slope of -2/5 and the perpendicular needs to have a slope of 5/2
Maria is designing a new walking path in her neighborhood park. She wants the new path to run parallel to an existing straight path that follows the line y=2x+3. The new path needs to start at a point near the picnic area, which is located at the coordinate (4,1).
What is the equation of the new path that is parallel to the existing one and passes through the picnic area?
y=2x-7