Solve Systems of Equations by Graphing
y = 2x + 5
y = 2x - 2
no solution
2y + x = 4
y - x = -1
(2,1)
y = x - 1
2x - 3y = -1
(4,3)
What is the slope and y-intercept of the following equations?
y = -5x + 4
m= -5
b=4
What is the solution to a system of equations (when the system has one solution)?
The intersection point of two lines
y = x + 5
y = -x + 9
(2, 7)
x - y = 11
2x + y = 19
(10,-1)
y = 6x - 11
-2x - 3y = -7
(2,1)
What is the slope of line passing through ( -2, 5) and ( 12, -9)
m = -1
What type of lines are the result of "no solution" for a system of equations?
parallel lines
y = 3x + 2
2y = 6x + 4
infinite number of solutions
4x + 8y = 20
-4x + 2y = -30
(7,-1)
y = -2
4x - 3y = 18
(3,-2)
What is the equation of the line with slope = -1 and y-intercept = -15
y = -x - 15
What is the graph of the equation of y = any number a horizontal or a vertical line?
horizontal line
y = x - 3
x + y = 9
(6,3)
-6x + 5y = 1
6x + 4y = -10
(-1,-1)
y = 5x - 7
-3x - 2y = -12
(2,3)
What is the equation for a line with slope = 5 and passing through point (0, 8)
y = 5x +8
What happens to a graph of two lines that have infinitely many solutions?
Same line
2y = 4x + 10
y - x = 7
(2,9)
8x + 14y = 4
-6x - 7y = -10
(4,-2)
-4x + y = 6
-5x - y = 21
(-3,-6)
What is the equation of a line passing through (1, 2) and (-2, 8)
y = -2x + 4
What is the point where a graph crosses the y-axis?
the y-intercept