Graphing
y= x + 2
y= -x + 4
(1, 3)
y = x - 2
-2x + 6y = -4
How many solutions?
y= 2x + 2
y= -x + 5
Solve by graphing.
y= (1/2)x - 2y= -2x + 3
(2,-1)
y = -8
5x + 15y = 10
5x -10y = -40
less than
less than or equal to
Describe the graphs of a systems of equations with: one solution, no solutions, and infinite solutions. Hint: How many intersections might the graphs have?
One solution: one intersection, different slopes
No solutions: No intersections, parallel, same slope, different y-intercepts
Infinite: Same line, infinite intersections, same slope and y-intercept
-x + 2y = 6
y=2
(-2,2)
y = x - 2
2x + y =5
y< 2x +1
Shaded below the line and dotted
2y=6x+4
Solve by graphing.
2x - y = -7
y = -(1/2)x + 2
Check graph with your teacher.
(-2, 3)
y = x -5
2x + 9y = 8
x + y > 2
y > -x + 2
Dotted line, shaded above the line
15x + 20y=60
Solve by graphing.
-x + 2y = -6
3x + 2y = 2
Check graph with your teacher
(2, -2)
-3x + 2y = -8
-x + 5y =22
y=(4/5)x + (13/5)
Is the point (4,-2) a solution to the inequality
-5x + y < -4
Shaded below the line, dotted line
Yes, (4,-2) is a solution to the inequality
6a + 5d = 32