The formula that we use to find the Midpoint is
x+x/2 , y+y/2
y = x + 4
y = 2x + 5
r + s = -6
r - s = -10
x = 4y
2x + 3y = 22
x = 3y + 4
3x - 5y = 8
How can you convert this to an Elimination Problem
by subtracting the 3y over in the top equation so it says x - 3y = 4
The ratio of rise to run
What is slope?
y = 3x - 2
y = -x - 2
8a + 5b = 9
2a - 5b = -4
y = x - 2
3x - y = 16
Is (4,-3) a solution to:
x - y = 4
2x + y = 5
No, y needs to be +3
Infinite Solutions
y = -3
x = 5
2x + 3y = 6
3x + 5y = 15
y = 3x - 1
7x + 2y = 37
if their graphs are parallel
y = (1/3)x - 3
2x - y = 8
2a - 4b = 12
-8a + 16b = -48
3s - 2t = 4
t = 2s - 1
What is the value of the x coordinate in the problem
6x + 3y = 33
3x - y = 4
x = 3
The Pythagorean Theorem helps us find the distance on a graph by allowing us to use right triangles and filling into the formula. What is the Pythagorean Theorem
a2 + b2 = c2
y - 3x = 3
y = 3x - 2
(1/3)x + (1/4)y = 10
(1/3)x - (1/2)y = 4
t + u = 12
t = (1/3)u
y = 8x + 8
y = 8x + 8
Do the equations have infinite, no solutions or one solution
Infinite Solutions