Graphing Linear Equations
Graph the equation: y = -3x + 2
Points at (0,2) and (1, -1)
What is the definition of slope that you need to know?
Slope is rise over run
What is the y-intercept for all proportional relationships?
0
What is the slope of the equation: y=9x+1?
9
What is the equation of the line that passes through the points (0, 1) and (2, 7)?
y = 3x + 1
Graph the equation: y = -1/2x +3
points at (0,3) and (2,2)
Find the slope between the two points:
(9, 4) and (6, 7)
-1
Does the equation represent a proportional relationship?
y=9x
yes
What is the y-intercept of the equation: y=9x+1?
1
What is the equation of the line that passes through the points (0, 0) and (5, 9)?
y=9/5x
Graph the equation: y =-5
points at (0,-5) and (1, -5) (or any point with the y value equaling -5) (should be a horizontal line)
Find the slope between the two points:
(5, -1) and (3, -1)
0
Does the equation represent a proportional relationship?
y=14x+0
yes
Graph the equation: y=3x+4
points at (0,4) and (1, 7)
What is the equation of the line that passes through the points (-3, 5) and (3, 5)?
y= -5
Graph the equation: x = 8
points at (8,0) and (8, 1) (or any point with the x value equaling 8) (should be a vertical line)
Find the slope between the two points:
(0, -1) and (0, 4)
undefined
Does the equation represent a proportional relationship?
y=13x+9
no
Graph the equation: y=-2x-3
points at (0, -3) and (1, -5)
What is the equation of the line that passes through the points (0, 9) and (3, 4)?
y = -5/3x + 9
Graph the equation: y = 3/4x +8
points at (0,8) and (4, 11)
Find the slope between the two pointsKeep your answer a fraction.:
(19, 27) and (12, 60)
-33/7
Graph the equation: y=7x
points at (0,0) and (1, 7)
Graph the equation: y=-x+1
points at (0, 1) and (1,0)
What is the equation of the line that passes through the points (4, 5) and (1, 9)?
y = -4/3x + 10 1/3