Points, Lines and Planes
Points, Lines, Planes
Linear Equations
Parallel and Perpendicular
Systems of equations
1
What is a flat surface with no thinkness?
A plane
1
How many points are needed to make/label a line?
2
1
What is the slope-intercept form of the line equation?
What is y = mx + b.
1
What is the formula for slope?
m=(y_2-y_1)/(x_2-x_1)
1
Solve the system using the method of your choice
y = 3x + 1
2y = 7x - 1
(3,10)
2
Name the two ways you can name a line with points C and D
line CD and line DC
2
Draw opposite rays
<----.B-----.-------.A----->
2
3(y + 4) - 7 = 23 Solve for y.
y = 6.
2
What is the slope perpendicular to
y=1/5x+9
m=-5
2
Solve the system using the method of your choice
2y = 4x + 8
y - 2x = 4
Infinite Solutions
3
What is three or more points on a straight line called?
Collinear
3
Where do lines PR and TR intersect?
Point R
3
(1/3)x+6=-8
What is x?
x = -42.
3
What are the slope and y-intercept of the following line: 4x − y = 1
m = 4 b = -1
3
Solve the system using the method of your choice
3y - 2x = 18
4y + 2x = 10
(-3,4)
4
What is created when two planes intersect?
a line
4
Sketch two lines: one that lies on plane K and a second that intersects the first line on the same plane
4
4r - 3(r - 2) = 21 What is the value of r?
r = 15.
4
Write the equation of the line parallel to
y=-3x+1
through the point (-5,2)
y=-3x-13
4
Solve the system using the method of your choice
6y + 8x = 12
3y + 4x = 20
No solution
5
What is three or more points that lie in the same plane called?
Coplanar
5
Draw plane M with 2 lines SQ and PR that intersect at point Q.
Now add point T that is coplanar to the 2 lines.
5
What is the point-slope form of the line equation?
y-y_1=m(x-x_1)
5
Write the equation of the line that is perpendicular to
y=-9x+5
and has a y-intercept of -7
y=1/9x-7
5
Solve the system using the method of your choice
9y - 2x = 22
5y = 6 + 2x
(7,4)