Rearranging/Graphing
#1 Change to slope-intercept form:
2y = 6x + 2
y = 3x + 1
Points: +3
For two linear equations to be parallel, they must have the same___________.
For two linear equations to be perpendicular, their slopes are ___________
slope, opposite reciprocal (or Negative reciprocal)
Points: -3
Write the linear equation (in slope intercept form) where the slope is 3 and it's going through (0, -2).
y = 3x - 2
Points -1
What is the slope of the line through the points (-2, -6) and (3, -6).
Bonus: What type line is this?
Slope is zero
Points: -3
Bonus: Horizontal
Points: +2
Write an equation with a slope of 1/4 that passes through the point (0, 3)
Your answer should be in slope-intercept form
y = 1/4 x+3
+1
The following is an example of which form of a line?
y - 4 = 3 (x + 1)
Follow up: Give KEY information for Bonus Points
Point-slope form
Points: +2
Bonus - Slope = 3 with point (-1, 4)
Points: -2
Which of the following linear equations are parallel?
a. y = 2x + 4
b. y - 2x= -1
c. y = -2x + 5
A and B
Points +1
Write the linear equation where it has a slope of -2/3 and goes through the origin.
y = -2/3 x
Points: -1
What is the slope of the line that goes through these two points: (4, -10) and (-5, -1)
-1
Points: -2
Allie and Jenna are going on a canoe trip. They need to rent the gear, which costs $40.
After that, they pay $30 for every hour they are out on the river.
What is the rate of change (with units)
30 dollars per hour
Points: -3
Change to slope-intercept form:
2y + 3 = -10x
Points +3
y=-5x-3/2
Give the equation that is perpendicular to y = -4x+3 and goes through the point (2, -4). Your answer should be in point slope form
y + 4 = 1/4(x -2)
Points: +2
Write the linear equation where m = -4, and the line passes through the point (3,5) in Slope Intercept Form
y = -4x + 17
Points: +2
Write an equation that passes through the points:
(1, 8) and (-2, 8)
Your answer should be in slope-intercept form
y = 8
Points: +3
Write an equation that passes through the points:
(5, 3) and (0, 1)
Your answer should be in slope-intercept form
y=2/5x+1
-3
Change the equation to Standard Form:
y = -1/2x+3
Points: +1
1x + 2y = 6
Are these linear equations parallel, perpendicular, or neither?
y = 3x + 4
and
2y + 6x = 12
Neither
Points: +1
Write the linear equation it is perpendicular to the line y= -2x + 3 and the line passes through the point (-2, 4).
Write your final answer in Slope Point Form
y -4 = 1/2(x + 2)
Points: +1
Write an equation for a line passing through (2,3) that is parallel to y = 5.
y = 3
Points: -2
A gym charges a one time fee to join and then a monthly fee. For 5 months it costs a person $105 and for 7 months it cost $135 Write an equation to represent the total cost of being a member for x months in slope intercept form
y=15x+30
Points: -3
What is the slope of the line?
5x + 2y = -1
.
m=-5/2
Points: +3
Are the following equations parallel, perpendicular, or neither?
y - 2x = - 3
-8y - 4x = 8
perpendicular
Points +3
Write the linear equation that passes through the points (-2, -3) and (4, 9)
Final Answer should be in Standard Form
2x - y = 1
Points: +3
Write an equation of a line passing through (1, 9) and perpendicular to the x-axis.
x=1
Points: +2
Allie and Jenna are going on a canoe trip. They need to rent the gear, which costs $40.
After that, they pay $30 for every hour they are out on the river. Write an equation in slope-intercept form to model their total cost.
y=30 x +40
Points: -3