Graph Points
Graph Lines
Slope-Intercept Form
Standard Form
Systems of Equations
100
Graph the point:
(-6, 10)
6 left and 10 up
100
Graph an example of a line with a positive slope
Uphill from left to right
100
What does the
slope-intercept form
of a line tell you about what its graph looks like?
The slope of the line and the y-intercept
100
How can you graph a line that is not in slope-intercept form?
Example: 2x + 7y = 14
Convert it to slope-intercept form (solve for y)
100
What is the solution to this system of equations?
(2, -1)
200
Graph the point:
(10, -6)
10 right and 6 down
200
Graph an example of a line with a negative slope
Downhill from left to right
200
What is the y-intercept of
y = 4x + 7?
7
200
What is the slope of
2x + 3y = 9?
-2/3
200
What is the solution to this system of equations?
No solution
300
Graph a y-intercept of 6
(0, 6)
300
Graph an example of a line with a zero slope
Horizontal line
300
What is the slope of
y = -2x + 1?
-2
300
What is the y-intercept of
3x - y = 4?
(0, -4)
300
What is the solution to this system of equations?
Infinite solutions
400
Graph an x-intercept of -3
(-3, 0)
400
Graph an example of a line with an undefined slope
Vertical line
400
Graph
y = x - 6
A line with a y-intercept of -6 and a slope of 1
400
Graph the line
x - 2y = -8
A line with a y-intercept of 4 and a slope of 1/2
400
Graph the solution to the system:
-x + y = 6
3x + y = 6
(0, 6)
500
Graph the y-intercept of
y = 10x - 9
(0, -9)
500
Graph the line
y = -3
A horizontal line through the y-intercept of -3.
500
Graph
y = (-6/10)x + 10
A line with a y-intercept of 10 and a slope of (-6/10)
500
What is the x-intercept of
-5x + 10y = 10?
(-2, 0)
500
Solve the system algebraically
(using substitution or elimination):
-15x – 10y = 15
5x + 4y = 1
(-7, 9)