y=mx+b
Given the equation, y=3x-2, identify the slope and the y-intercept of this line.
slope(m)=3
y-intercept(b)=-2 or (0,-2)
Slopes of parallel lines are
a. the same
b. opposite reciprocals
c. negative
a. the same
Slopes of parallel lines are
a. the same
b. opposite reciprocals
c. negative
b. opposite reciprocals
What is the formula to calculate the slope of two points? Write your answer using x and y-variables.
y2-y1
_____
x2-x1
In the year 2016, the Lab Lions won 8 hockey games. In the year 2018, they won 12 games. What was the average rate of change between the years 2016 and 2018?
2 games per year
Given the equation in standard form.
4x-y=1
Write the equation in slope-intercept form.
y=4x-1
Are these lines parallel?
2x+4y=4
y=-1/2x-3
Yes
Are these lines perpendicular?
3x+2y=5
y=-2/3x-1
No
#8) An elementary school consists of kindergarten (grade 0) through grade 5. The equation n =− 38g + 378 can be used to determine the number of students, n, who started the school in kindergarten and who are still in the school at grade g. Which description represents the meaning of 378?
a. The number of students who started at the school in kindergarten.
b. The number of students who were at the school at the end of grade 1.
c. The number of students who started at the school in kindergarten but who left at each grade.
d. The number of students who started at the school in kindergarten and who were still there at the end of grade 5.
a. The number of students who started at the school in kindergarten.
#12) At a certain company, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. According to the graph, what was the average rate of change between 2016 and 2018?
LOOK AT 12 in review packet to see graph
-1/2 employees per year
#4) Find the y-intercept of the line through the points (2,6) and (4, 8)
b=4
Write an equation to for a line that is parallel to -1/2x+y=6 and passes through the point (-3,2).
#15
y=1/2x+7/2 OR y=0.5x+3.5
Do perpendicular lines intersect?
Yes
No
Yes, at a 90 degree angle
The phrase we use to remember how to calculate or count the slope of a line is...
rise over run
If my x-axis is labeled with months - January, February, march... What do I need to do in order to be able to calculate an average rate of change?
Label the months as numbers
Jan - 1
Feb - 2
March - 3 ...
#1) Write an equation with a slope of 5/2 and a y-intercept of (0,-4).
y=5/2x-4
Do parallel lines intersect?
Yes
No
NO, NEVER
Write an equation to for a line that is perpendicular to y=3x+2 and passes through the point (1,1).
#17
y=-1/3x+4/3
#7) The equation T = 0.63s + 78 can be used to determine T, the temperature in degrees, inside an oven s seconds after the oven is turned on. Which statement relative to this equation is true?
a. Each second the temperature increases 78 degrees.
b. The initial temperature inside the oven was 78 degrees.
c. The temperature inside the oven in one minute was 141 degrees.
d. The temperature inside the oven increases by 78 degrees every 63 seconds.
b. The initial temperature inside the oven was 78 degrees.
#9) The table below contains a list of ordered pairs. Which equation represents the relationship between x and y.
a. y = 2x + 4 x y
b. y = 2x − 4 -2 8
c. y =− 2x + 4 -1 6
d. y =− 2x − 4 0 4
1 2
2 0
c. y =− 2x + 4