Slope from Two Points
Whats is the slope of a line that passes through the coordinates (6, 3) and (2, 1).
2/4 or 1/2
Graph what a system with no solution would look like.
Parallel Lines
Solve each system by substitution
y = 6x - 11
-2x - 3y = -7
(2 , 1)
−4x− 2 y= −12
4 x+ 8 y= −24
A triangle has the side lengths of 9, 15 and 12. Would this be a right triangle?
Yes
What is the slope of a line that passes through the two points (3, 9) and (7, 13)
1/1 or 1
Using the back of a whiteboard, find the solution to the following system of equation by graphing...
y = 3x + 6
y = -2x + 1
(-1 , 3) or x =-1 and y = 3
y = 5x - 7
-3x - 2y = -12
(2 , 3)
−2x− 9 y= −25
−4x− 9 y= −23
(-1 , 3)
A right triangle has two leg lengths of 12 meters and 5 meters, what would the length of the hypotenuse be?
13 meters
What is the slope of a line that passes through the two points (-5, 8) and (8, -5)?
13/-13 or -1
Using the back of a whiteboard, find the solution to the following system of equation by graphing...
y = 1/2x + 3
y = -1/2x + 3
(0 , 3) or x = 0 and y = 3
-3 - 3y = 3
y = -5x - 17
(-4 , 3)
7 x+ 2 y= 24
8 x+ 2 y= 30
(6 , -9)
A triangle has a leg with the length of 21 and a hypotenuse with the length of 35, what would the length of the second leg be?
28
What is the slope of a line that has the coordinates of (6, 6) and (-5, -3)?
9/11
Using the back of a whiteboard, find the solution to the following system of equation by graphing...
y = 2/3x + 1
y = 4/3x - 1
(3 , 3) or x = 3 and y = 3
-5x + 7 = -2
-3x + 6y = -12
(0 , -2) or x = 0 and y = -2
−7x+ y= −19
−2x+ 3 y= −19
(2 , -5)
A triangle has the side lengths of 24, 26 and 10 would this be a right triangle?
Yes
What is the slope of a line that has two coordinates of (3, 7) and (-2, -6)?
13/5
The cost of endless chicken wings and sauce at Restaurant X is $10. The cost of chicken wings at Restaurant Z is $0.50 per wing plus a one-time $1.50 charge for sauce. The total cost, c, of chicken wings can be represented by a system of equations. When would the cost be the same at both restaurants?
17 wings
-3x - 4y = 2
3x + 3y = -3
(-2 , 1)
5 x+ 4 y= −14
3 x+ 6 y= 6
(-6 , 4)
A right triangle has a hypotenuse length of 7.5 and a leg length of 2.1 what would the length of a the missing leg be?
7.2