y = 2x + 1
Explain how to graph this equation.
Start at origin. Move up 1 on the y-axis. For the slope move up 2 and 1 to the right.
Find the slope (reduced)
(5, 7) and (3, 6)
What is 1/2?
Rewrite the equation in slope-intercept form and identify the slope(m) and y-intercept (b)
3x+y=14
y=-3x+14
m=-3, b=14
What is the slope and y-intercept?
2x + 4y = 12
slope = -1/2
y-intercept = 3
What is the slope formula?
m=(y_2-y_1)/(x_2-x_1)
y = -2/3x - 7
Explain how to graph this equation.
Start at the origin. Move down 7 on the y-axis. For the slope move down 2 and 3 to the right.
Rewrite the equation in slope-intercept form and identify the slope(m) and y-intercept (b)
2x-y=-13
y=2x+13
m=2, b=13
What is the slope and y-intercept?
-5x + 3y = 15
slope = 5/3
y-intercept = 5
A line that goes up to the right has a ____________ slope.
y = 6/7x - 5
Explain how to graph this equation.
Find the slope
(-10, 13) and (11, 0)
-13/21
Rewrite the equation in slope-intercept form and identify the slope(m) and y-intercept (b)
x-y=0
y=x
m=1, b=0
What is the slope and y-intercept?
1/2x - y = 6
slope = 1/2
y-intercept = -6
A line that goes DOWN to the right has a ____________ slope.
A line that goes up to the right has a NEGATIVE slope.
4x + y = 8
Explain how to graph this equation.
Start at the origin. Move up 8 on the y-axis. For the slope move down 4 and 1 to the right.
Find the slope
(3, 16) and (-19, 16)
m=0
Rewrite the equation in slope-intercept form and identify the slope(m) and y-intercept (b)
5x+8y=-48
y=-5/8x-6
m=-5/8, b=-6
What is the slope and y-intercept?
-5x - 2y = -14
slope = -5/2
y-intercept = 7
A horizontal line has a slope that is ZERO.
Like y=5 for example.
2x + 4y = 12
Explain how to graph this equation.
Start at the origin. Move up 3 on the y-axis. For the slope move down 1 and 2 to the right.
Find the slope
(15, 10) and (15, 15)
slope is undefined
Rewrite the equation in slope-intercept form and identify the slope(m) and y-intercept (b)
3x-2y=10
y=3/2x-5
m=3/2, b=-5
What is the slope and y-intercept?
-x - y = -1
slope = -1
y-intercept = 1
A VERTICAL line has a slope that is ___________
A VERTICAL line has a slope that is UNDEFINED