Transcript alg5jeopardy

Interpreting
Slope-intercept
functions/
form
tables/graphs
Standard
forms
X and Y
intercepts
Parallel and
Perpendicular
functions
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Create a linear function
for the following table
Weeks
Profit($)
2
4
6
8
100 200 300 400
y = 50x
Jess has been given a certain
number of stamps. He plans
to collect a constant amount
each month.
Y = 4x + 20
Describe what 4 and 20 mean
in the situation.
The 4 represents the
number of stamps he will
collect each month, and
20 represents how many
stamps he was already
given.
Describe what you
would expect to see in
the graph of equation
y = x – 30
The graph would have a
y-intercept at -30 and a
slope of 1, ( for each
increase of 1 in x, y
would increase by 1.)
Draw and label lines
on a coordinate grid:
a) positive slope
b) negative slope
c) slope of zero
d) undefined slope
a) Increasing line
b) Decreasing line
c) Horizontal line
d) Vertical line
Marc has a new job and earns
$11 per hour, but has to pay a
one time worker’s fee at
school. Solve the equation
79 = 11x – 20 and explain
the solution.
X = 9.
When he works 9
hours, he will earn
$79 after the fee is
deducted.
Write an equation
of the line
containing the point
(-2,6) and also
contains the origin.
y = -3x
or
y = -3x +0
In the equation
y=
x
2
-6
Determine the slope
and y-intercept
Slope = ½
y-intercept: -6
Write a linear function
for the following table
x
y
0
1
2
3
-6
1
8
15
Y = -6 + 7x
or
y = 7x – 6
or
y = 7x + -6
A ladder is placed 5 feet from
the base of a building. The
top of the ladder is 15 feet
above ground on the side of
the building. What is the
slope of the ladder?
Slope of 15/3 or 5
Write an equation in
slope-intercept form
for the line containing
the point (3,6) and a
slope of 2
y = 2x + b
6 = 2·3 + b
6=6+b
b=0
y = 2x
Jenny rents bikes. She
charges $9 for adults and $5
for kids. Write an equation
in standard form that
describes how many bikes
can be rented for $100.
9x + 5y = 100
x: # adults
y: # kids
What are the slope
and y-intercept of
the line 5x – 2y = 7
Slope of 5/2 (or 2.5)
y- intercept of (0,-7/2)
Rewrite into
standard form:
y = 7x + 2
4
3
-7x +y = 2
or
7x – y = -2
Which equation has the same
slope as 4x – 3y = 8?
4
a) y = 3 + x
3
b) y = 2 –
4
x
3
a) y = 3 +
4
x
3
Graph the equation
2x – 3y = 8 by
finding the intercepts.
Y- intercept (0, -8/3)
x- intercept (4,0)
Given: y = 3x – 1
Find the y- intercept
and x-intercept
y- intercept (0,-1)
x-intercept: (1/3,0)
Given y = 2x
Find the x-intercept
and y-intercept
y-intercept: (0,0)
x-intercept : (0,0)
Use intercepts
to graph
7x – y = 3
y-intercept (0,-3)
x-intercept: (3/7,0)
Find the x
intercept and y
intercept
3x – 2y = -6
y-intercept: (0,3)
x-intercept: (-2,0)
If a line hits the x-axis
at x = -2 and the y-axis
at y = 3, write an
equation in slopeintercept form.
(-2,0) and (0,3)
Slope: 3/2 and
y-intercept: 3
y = 3/2x + 3
Which line is parallel to
y = -2x – 1
a) y = 2x + 7
b) y = -3 – 2x
c) y = -1 + 1/2x
d) y = 2x + 1
b) y = - 3 – 2x
A line perpendicular the
3x + 2y = 6
2
a) y =  3 x + 2
b) y =
3
x
2
+1
c) y = 4 +
2
x
3
2
3
c) y = 4 + x
Graph y = 2/3x + 1. Then
sketch a line
perpendicular to that and
write its equation.
y = -3/2x + ?
Graph y = 5x and
graph a line parallel
and write its
equation.
Y = 5x + ?
Write an equation
that would be
parallel to y = 7
y = any constant
They are all
horizontal
y= 6
y = -2