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Worksheets8-CHAPTER 4 TEST (2022-2023)
Total questions: 197
Worksheet time: 13hrs 10mins
(1,8) and (3,12)
(-2,3) and (4,-5)
(7,1) and (-2,1)
(12,-2) and (4, -6)
(-4,5) and (-4, 2)
Find the slope of the line that passes through the points (2, 4) and (6, 12).
1/2
-1/2
2
-2
Find the slope of the line containing the points (−6, 2) and (0, 4).
1/3
3
-1/3
-3
What is the slope of the line passing through the points (-2, 3) and (4, -5)?
4/3
-4/3
3/4
-3/4
Find the slope of the line containing the points (-3, -4) and (7, -6).
1/5
5
-1/5
-5
What is the slope of a line that passes through the points (-8, 1) and (-6, -4)?
2/5
5/2
-2/5
-5/2
Describe the movement of the slope
down 1, down 2
up 1, right 2
right 1, up 2
right 1, down 2
What is the movement of the slope
Down 5, right 2
Left 5, up 2
Up 5, left 2
Down 5, Left 2
What is the movement of the slope?
Left 2
Down 2
Left 2, up 1
Down 2, right 1
Ordered pair (0,0) is also known as the ___.
y-axis
x-axis
origin
center
What is the slope of the line?
21
2
−21
-2
What is the slope of the line?
-3
-1
1
2
What is the letter that represents slope?
y
b
m
x
Which letter represents the y-intercept?
y
m
x
b
What number represents the slope ?
y = -2/3x + 2
-2/3
2
-2
-2/3x
Which ordered pair represents the Y-Intercept?
y = -2/3x + 2
(0,2)
(2,0)
(0,-2)
(0, -2/3)
y-intercept: 1
y-intercept: -1
y-intercept: 1
y-intercept: 0
What is the slope of the line with the equation
y = −23x + 4
−23
23
4
−4
What is the y-intercept of the line with the equation
y = −2x + 4
−2
2
4
−4
Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10
y=12x-10
y=10x+12
y=12x+10
x=10x-12
What does the 4 represent in y=4x+3 ?
slope
y-intercept
What does 10 represent in y=6x+10 ?
slope
y-intercept
How would you graph y = 3/4x?
Begin at the 3 then go up 4 and place a point
Begin at (0,0) put a point Go up 4 right 3 put a point
Begin at (0,0) put a point. Go up 3, right 4 put a point
Begin at 4 put a point. Go up 3 right 1 put a point
Where do I begin?
Y = -2/5x -4
At -4 on the X-axis
At 4 on the y-axis
At (-2,5)
At -4 on the y-axis
Which graph represents the equation:
y = 2x + 2
Graph the line with the equation
y = −32x + 4
Graph the line with the equation
y = −31x − 4
If the slope of a line is undefined, then the line is ...
Vertical
A Falling Line
A Rising Line
Horizontal
If the slope of a line is zero, then the line is ...
Vertical
A Falling Line
A Rising Line
Horizontal
Graph the line: y=−21x+3
Which graph best represents the equation y = -3x + 4?
Which could be the graph of the equation y = 1/3x - 2?
Which is the graph of the equation y = -2x + 1?
Which graph represents y = 3x?
Which is the graph of the equation ?
y = −2x + 1What is the equation for this graph?
y= 4/5 x + 4
y= 5/4 x + 4
y= 4x -5
y= 5x + 4
Which graph represents the equation y=4x−1
Which graph represents the equation y=4x−1
(10, 1) and (5, 2)
What is the strategy for graphing point-slope form?
Graph the y-intercept, then use the slope to move.
Divide to find the x- and y-intercepts.
Graph the given point, then move according to slope.
Select all of the following equations in point-slope form.
y - 2 = 5(x - 2)
3x + 2y = 12
y + 2 = 1/4(x + 4)
y = 4x + 6
2y = 5x - 7
For the equation
y + 1 = −3(x - 5),
the line contains the point (5, −1), but what is the slope?
−1
3
−3
5
For the equation
y + 1 = 1/4(x - 5),
the line contains the point (5, −1), but what is the slope?
1
5
1/4
−1
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
For the equation
y + 2 = 5(x - 4),
the line has a slope of 5 and contains what point?
(4,−2)
(−4,2)
(5,0)
(4,2)
For the equation
y + 3 = -4(x - 2),
which of the following is true?
The line has m = −4 passing through the point (2, -3)
The line has m = 4 passing through the point (3, −2)
The line has m = 3 passing through the point (-4, -2)
The line has m = −4 passing through the point (−3, 2)
y - 3 = 2(x + 4),
which of the following is true?
Write the equation in point-slope form
of the line that passes through the point
(4, -7) and has a slope of -1/4.
y + 7 = -1/4(x - 4)
y - 4 = -1/4(x + 7)
y + 7 = 4(x - 4)
y - 7 = -1/4(x - 4)
Write the equation of the line
in Point-Slope form that goes through
the point (10,5) and has a slope of -3
y - 5 = -3(x - 10)
y= -3x + 35
y + 5= -3(x + 10)
y= -3x - 35
Given y + 6 = 10( x - 9) , what is the point used to write this equation?
(10, 9)
(6, -9)
(-6, 9)
(9, -6)
Identify the slope and the coordinate the following equation passes through: y+8=2(x-1)
m:2 (1,-8)
m:-2 (1,-8)
m: 2 (-1,8)
m: -2 (-1,8)
m = 1/3 through (4, 4)
y+4=31(y−4)
y+4=−31(x+4)
y−4=−31(x−4)
y−4=31(x−4)
What is the slope of the line represented by 5x−12y=24 ?
Hint: Solve for y first
125
-2
−125
2
What is the slope of the line represented by 6x−4y=5 ?
Hint: Solve for y first
45
−32
23
65
5x + y = -10
The line with the equation
y + 1 = -3(x - 5),
contains the point (5, -1)
and has a slope of _______.
-1
1
-3
5
Convert the equation of the line
y + 5 = -3(x - 6)
into slope intercept form.
y = -3x - 23
y = -3x - 13
y = -3x - 11
y = -3x + 13
Put this into standard form:
y = 3x + 2
y + 3x = 2
3x + y = 2
3x - y = -2
3x - 2y = 2
Write the linear equation in y = mx + b form using the given points.
y = 2/3x - 2
y = 3/2x - 2
y = -2/3x + 2
y = x + 2
Write the linear equation in y = mx + b form using the given points.
y = 7/5x - 3
y = 5/7x - 3
y = 5/7x + 3
y = -7/5x - 3
Write the linear equation in y = mx + b form using the given points.
y = -2x + 1
y = -3x + 1
y = 2x + 1
y = 3x - 1
Write the linear equation in y = mx + b form using the given points.
y = -2x + 1
y = 1/2x - 2
y = 2x - 1
y = -1/2x + 2
Write the linear equation in y = mx + b form using the given points.
y = -1/2x + 1
y = 1/2x - 1
y = 2x - 1
y = -1/2x + 2
Write the linear equation in y = mx + b form using the given points.
y = -3/4x - 1
y = 3/4x - 1
y = 4/3x + 1
y = -4/3x - 1
Write the linear equation in y = mx + b form using the given points.
y = -1/2x + 1
y = 2x - 1
y = 1/2x - 1
y = -2x + 1
Write the linear equation in y = mx + b form using the given points.
y = -7/3x + 8/3
y = -7/3x - 8/3
y = -7/3x - 3
y = 7/3x + 8
What is the equation of the line that goes through the points (2, 9) and (3, 1) ?
y= 8x - 5
y= -8x + 25
y= (1/8)x - 2
y= (-1/8)x + 1
Which of the equations below would have a line that passes through both (1, 7) and (0, −9)?
y = 1/2x − 9
y = 16x − 9
y = -1/2x − 9
y = =16x − 9
Write the equation that is solved by both (-3, -1) and (3, 1).
y = -3x - 5
y = (-1/3)x + 5
y = 3x + 1
y = (1/3)x + 0
Write the linear equation in y = mx + b form using the given points.
y = -2x + 1
y = -3x + 1
y = 2x + 1
y = 3x - 1
Write the linear equation in y = mx + b form using the given points.
y = -1/2x + 1
y = 1/2x - 1
y = 2x - 1
y = -1/2x + 2
Write the linear equation in y = mx + b form using the given points.
y = -3/4x - 1
y = 3/4x - 1
y = 4/3x + 1
y = -4/3x - 1
Write the linear equation in y = mx + b form using the given points.
y = -7/3x + 8/3
y = -7/3x - 8/3
y = -7/3x - 3
y = 7/3x + 8
What is the equation of the line that goes through the points (2, 9) and (3, 1) ?
y= 8x - 5
y= -8x + 25
y= (1/8)x - 2
y= (-1/8)x + 1
Which equation has a line that would pass through both (8, 5) and (9, −1) ?
y = 6x + 53
y = −6x - 53
y = (−4/5)x + 53
y = −6x + 53
Which of the equations below would have a line that passes through both (1, 7) and (0, −9)?
y = 1/2x − 9
y = 16x − 9
y = -1/2x − 9
y = =16x − 9
(3, 3) and (4, -1).
(0, -2) and (-5, 3)
what is the slope of the following 12x - 6y = 30
2
-2
12
-12
what is the slope of y = 4 - 6x
4
6
-6
-4
what is the slope intercept form for the equation -2x + 8y = 2
y = -2x + 8
y = 1/4x + 1/4
y = -1/4x - 1/4x
y = 2/8x + 4
what is the first step to solve for slope intercept form on
-x + 4y = 11
subtract 11 from both sides
add x to both sides
subtract x from both sides
put in th y=
which of the following is the best first step to solve for y = mx +b? equation is -2x - 4y = -12
add 4y to both sides
subtract 2x from both sides
add 2x to both sides
divide by -4
y=-3x+1
y=3x+1
y=1/3x+1
y=-1/3x-1
y=-4x-12
y=4x+12
y=-4x+12
y=-4x+3
y=-x-9
y=x-9
y=-x+9
y=x+9
y=-5x+5
y=-x+5
y=x+1
y=-x+1
y=1/2x+5
y=-1/2x+5
y=-1/2x-5
y=1/2x-5
Identify the form of the following linear equation:
y = 3x - 2
Standard Form
Slope - Intercept Form
Neither
Identify the form of the following linear equation:
5x + 3y = 15
Standard Form
Slope - Intercept Form
Neither
Identify the form of the following linear equation:
x = 4y - 8
Standard Form
Slope - Intercept Form
Neither
x + 5y = -25
5x - 4y = -20
3x-6y=12
y = x
-10x + 2y = 14
-5x + y = 11?
5x - y = 16
2x - 4y = 8
2x + 2y = 6
x - 7y = -21
Graph 2x + 4y = 4
-x + 2y = 3
2x - 5y = 1
x + y = 4
x - y = -3
Which graph represents 2x + 4y = 12?
Graph 2x + 4y = 4
-x + 2y = 3
2x - 5y = 1
Which graph matches this equation? (change to slope intercept or use the x & y intercept) x + y = 4
What is the y-intercept.
y-intercept is -3
y-intercept -2
y-intercept is 3
y-intercept is -1
What are the x- and y-intercepts of the linear function given by the equation x + y = -2
(-2, -2)
(-2, 0) and (0, -2)
(0, 0)
(2, 0) and (0, 2)
Graph
Graph
Which graph represents 2x + 4y = 12?
The slopes of parallel lines are...
the same
opposite
always different
(6,7) and (4,2)
(10, 1) and (5, 2)
m = 3/4
The following represents slopes of two lines. Which answer choice describes the two lines?
m=−31 and m=−31 .
Parallel
Perpendicular
Neither
m = 7 and m = -7
What is the slope of a line perpendicular to 5?
5
1/5
-1/5
-5
Line 1: (−1, 2), (2, 3)
Line 2: (0, 0), (3, 1)
These two lines are ______________________
Parallel
Perendicular
Neither
y = 3x - 3
These lines are...
y = 3/2x + 9
These lines are...
y = 5/7x +2
y = 4x + 9
These lines are...
What is the slope of this line?
y=3−2x+2 and y=23x+9 are what kind of lines?
Parallel
Perpendicular
Neither
Write the equation of a line PERPENDICULAR to y=31x−9 that passes through the point (-6, 10).
y=31x−9
y=31x+10
y=−3x+6
y=−3x−8
