Slope?
Parallel and Perpendicular
Rewrite it in slope-intercept form
Exit Ticket Review
Writing Equations
100
A linear equation passes through the points (-2, 4) and (0, 10). Can you determine the average rate of change from x=2 and x=6 given this information? If yes, what is it? If no, why not?
Yes; 3
100
through (4, -1); parallel to y=-3/4x
y=-3/4x+2
100
Consider the linear equation x+2y=6. Determine the x and y intercepts algebraically.
slope=-1/2; y-intercept=3
100
In 2014, Maricopa County had 892 miles of paved roads. Starting in 2015, the county began building 8 miles of new paved roads each year. In what year will Maricopa country have over 1000 miles of paved roads?
2028
100
Write the equation of the line shown below in the graph.
y=-1/2x+1
200
Calculate the slope of a line through the points (4, 6) and (8, 12)
3/2
200
through (-3, -3); perpendicular to y=-3/8x-2
y=8/3x+5
200
What is the slope and y-intercept? 3x+5y=-5
slope=-3/5; y-intercept=-1
200
Caitlin has a movie rental card worth $175. After she rents the first movie, the card’s value is $172.25. After she rents the second movie, its value is $169.50. After she rents the third movie, the card is worth $166.75.
Part A: Assuming the pattern continues, define your variables and write an equation to model this situation.
Part B: If she only rents a movie every other week, will she be able to use her card to rent movies for over a year? Explain. (hint – there are 52 weeks in a year)
y=-2.75x+175; x is movies rented, y is money left; Yes
200
Write an equation that represents the table of values shown below.
y=3/4x-2
300
What is the slope and y-intercept? y=0
slope=0; y-intercept=0
300
through (2,4); perpendicular to y=-x+5
y=x+2
300
What is the slope and y-intercept? 6x=-5y+20
slope=-6/5; y-intercept=4
300
Jason modeled the equation 4y=x+12 on a graph. He needs to graph a line that is parallel to this and passes through the point (8,1) and one that is perpendicular and passes through the same point. Record the two equations Jason should use to graph these additional lines.
y=1/4x-1 parallel; y=-4x+33 perpendicular
300
April took a cab from the airport to her hotel while on vacation in Washington DC. The cab ride from Dulles International Airport to her hotel was a total of 15 miles and it costs $25.50 without tip. The cabbie charged $1.50 per mile for the entire trip. Write a linear equation that could be used to find the cost of a cab ride in this cab from Dulles to anywhere in DC.
y=1.5x+3
400
What is the slope between these two points? (4, 19) (6, 23)
2
400
through (-2, -5); parallel to y=x+3
y=x-3
400
What is the slope and y-intercept? 2x+y=4
slope=-2; y-intercept=4
400
Find the slope and y-intercept of the line of the equation below.
5x+6y=-18
slope= -5/6 y-intercept= -3
400
Write the equation of this line.
y=-4/5x-3
500
What is the slope and y-intercept? x=0
slope=DNE; y-intercept=infinite
500
through (4,-4); parallel to y=3
y=-4
500
What is the slope and y-intercept? 10x-3y=15
slope=10/3; y-intercept -5
500
Scientists are studying the number of wild coyotes in an area of northeastern Montana. After 1 year, there are 49 coyotes. After 5 years, there are 33 coyotes. Assuming there is a constant change in the number of coyotes per year, write an equation in slope-intercept form that could be used to predict the number of coyotes in any given year.
y=-4x+53
500
Write an equation to demonstrate the graph below.
y=-2x+4