Rearranging/Graphing
Parallel/Perp Lines
Finding Equations
Graphs
Word Problems
100
Change to slope-intercept form:
2y = 6x + 2
y = 3x + 1
100
For two linear equations to be parallel, they must have the same___________.
For two linear equations to be perpendicular, their slopes are ___________
slope, negative reciprocals
100
Write the linear equation (in slope intercept form) where the slope is 3 and it's going through (0, 2).
y = 3x + 2
100
Write the equation for this line in Slope Intercept Form
y=-4/5x+3
100
Noah earns extra money babysitting. He charges a fee of $5 to start any job, and his hourly rate is $2 for every hour. Write an equation to model his total income for the evening.
( Hint: What is the rate/slope? What is the starting value/ y-int? )
Your answer should be in slope-intercept form.
y=2x+5
200
The following is an example of which form of a line?
y - 4 = 3 (x + 1)
point-slope form
200
Which of the following linear equations are parallel?
a. y = 2x + 4
b. y - 2x= -1
c. y = -2x + 5
A and B
200
Write the linear equation where it has a slope of -2/3 and goes through the origin.
y = -2/3 x
200
Write the equation of this line in Slope Intercept Form
y=2x-3
200
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=30x +40
300
Change to slope-intercept form:
y - 3= -5(x+2)
y=-5x-7
300
Give any equation that is perpendicular to y=-4x+3. Your answer should be in slope-intercept form
Any answer with a slope of 1/4 is accepted.
300
Write the linear equation where m = -4, and the line passes through the point (3,5)
y = -4x + 17
300
Write the equation for this graph in Slope Point Form
y-3=-4/5(x+3)
300
After 1 week a baby panda is 11cm in length. Every week after this, its size increases by 5 cm. Write an equation in point-slope form modeling the size of the panda after a certain number of weeks
how big will the panda be in 10 weeks
y - 11 = 5(x-1)
The panda will be 56cm in 10 weeks
400
Change the equation to General Form:
-2y - 6 = x
x + 2y + 6 = 0
400
Are these linear equations parallel, perpendicular, or neither?
y = 3x + 4
and
2y + 6x = 12
Neither
400
Write the linear equation it is perpendicular to the line y= -2x + 3 and the line passes through the point (-2, 4)
y = 1/2x + 5
400
Write the equation for this line in Slope Point Form
y-2=-3/5(x+3)
y+1=-3/5(x-2)
400
Two families went on a traditional nuuchahnulth dugout canoe tour in Tofinoharbour, B.C. One family paid $220 for 5 people.The other family paid $132 for 3 people
Write an equation for this situation in Slope Point Form
y - 132 = 44(x-3)
or
y - 220 = 44(x-5)
500
a. Change to Standard Form
b. Change to General Form
y=-5/2x-1/2
a. 5x + 2y = -1
b. 5x + 2y -1 = 0
500
Are the following equations parallel, perpendicular, or neither?
y - 2x = - 3
-8y - 4x = 8
perpendicular
500
Write the linear equation that passes through the points (-2, -3) and (4, 9) in slope-intercept form
y = 2x + 1
500
Which of the following is the equation in General Form
a) 5x - 4y - 15 = 0
b) -5x + 4y + 15 = 0
c) 5x + 4y - 15 = 0
c)
500
A video store charges $5 to rent a new releaseand $3 to rent an older movie. Kylie spent $45 renting movies last month.
Write an equation in general form to represent this relationship
5x + 3y - 45 = 0
or
5y + 3x - 45 = 0