Parallel/Perpendicular Lines
Write the slope parallel to y=3x+4
m = 3
What is parallel slope?
The solution to the system of equations:
r + s = -6
r - s = -10
What is (-8, 2)?
The solution to the system:
x = 4y
2x + 3y = 22
What is (8, 2)
What is the equation for slope
rise over run; (y2 - y1) / (x2 - x1)
Write the slope perpendicular to y=5/9x+4
m = -9/5
When a system has an infinite number of solutions.
What is they are the same line?
The solution to the system:
8a + 5b = 9
2a - 5b = -4
What is (0.5, 1)?
The solution to the system
y = x - 2
3x - y = 16
What is (7, 5)
Do parallel lines ever touch?
No
Write the slope parallel to 5y=2x+20
m=2/5
The number of solutions for the following system:
y = x^2
y = 2x + 4
What is 2?
The solution to the system:
2x + 3y = 6
3x + 5y = 15
What is (-15, 12)?
The solution to the system
y = 3x - 1
7x + 2y = 37
What is (3, 8)
What is the equation for slope intercept form
y= mx + b
Write the Line Perpendicular to y=2x+3 passing through (-3, 4)
y= -1/2x + 5/2
The solution to the system of equations
y = (1/3)x - 3
y = 3x - 9
What is infinite solutions?
The solution to the system
2a - 4b = 12
-8a + 16b = -48
What is infinitely many solutions?
The solution to the system
3s - 2t = 4
t = 2s - 1
What is (-2, -5)
If we have two lines that are perpendicular, what do we know about their slopes?
They are opposite reciprocals of each other
Write the Line Parallel to 6y+3x=4 passing through (-3,2)
y=-1/2x+1/2
The solution to the system of equations:
y - 3x = 3
y = 3x - 2
What is no solution?
The solution to the system:
(1/3)x + (1/4)y = 10
(1/3)x - (1/2)y = 4
What is (24, 8)
The solution to the system
t + u = 12
t = (1/3)u
What is (3, 9)?
What value of k will make the system have infinite solutions?
y = 2x + 4
-2y = kx - 8
-4