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Worksheetsslope-intercept, point-slope, standard form
Total questions: 37
Worksheet time: 5hrs 36mins
Name
Class
Date
1.
What is the slope of the graph of y=16x−7
a)
−7
b)
−716
c)
167
d)
16
2.
What is the slope of the line represented by 6x−5y=12
a)
−56
b)
65
c)
56
d)
−65
3.
What is the slope of the line represented by y−4=−3(x+6)
a)
4
b)
−3
c)
−6
d)
6
4.
What is the slope of the graph of y=−8x+23
a)
−8
b)
23
c)
8
d)
−23
5.
What is the slope of the line represented by 5x−9y=14
a)
5
b)
95
c)
59
d)
−9
6.
What is the slope of the line represented by y+10=14(x−99)
a)
−9910
b)
−99
c)
10
d)
14
7.
Which of these represents point-slope form of a linear equation?
a)
y - y1 = m(x - x1)
b)
Ax + By = C
c)
y = mx + b
d)
y=kx
8.
Which of these represents slope-intercept form of a linear equation?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
d)
y=kx
9.
Which of these represents standard form of a linear equation?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
d)
y=kx
10.
For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
a)
(-4, 3)
b)
(3, -4)
c)
(-3, -4)
d)
(-4, -3)
11.
For the equation
y + 1 = -3 (x - 5),
the line contains the point (5, -1) and has a slope of?
y + 1 = -3 (x - 5),
the line contains the point (5, -1) and has a slope of?
a)
-1
b)
1
c)
-3
d)
5
12.
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
(4, -7); m = -1/4
a)
y +7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y + 4 = -1/4(x - 7)
d)
y - 7 = -1/4(x - 4)
13.
Write the equation in slope-intercept form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
(4, -7); m = -1/4
a)
y = -1/4x + 6
b)
y = -1/4x - 6
c)
y = -1/4x - 8
d)
y = -1/4x + 8
14.
Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)
(-2, -3), (4, 3)
a)
y - 3 = 1(x - 2)
b)
y + 3 = 1(x + 2)
c)
y -3 = -1(x + 2)
d)
y + 3 = -1(x - 2)
15.
For the equation
y - 4 = -1/3(x - 7),
what are the coordinates for the point?
y - 4 = -1/3(x - 7),
what are the coordinates for the point?
a)
(4, 7)
b)
(-7, - 4)
c)
(7, 4)
d)
(-4, -7)
16.
Write the equation in point-slope form for the line that contains the points
(3, -5) and (5, - 1)
(3, -5) and (5, - 1)
a)
y - 5 = 2(x + 3)
b)
y + 5 = 2(x - 3)
c)
y - 3 = 2(x + 5)
d)
y + 3 = 2(x - 5)
17.
Write the equation in slope-intercept form for the line that contains the points
(3, -5) and (5, - 1)
(3, -5) and (5, - 1)
a)
y = 2x + 11
b)
y = 2x + 1
c)
y = 2x - 1
d)
y = 2x - 11
18.
Find the x and y intercepts
5x - 3y = 15
5x - 3y = 15
a)
x intercept is 3
y intercept is 5
y intercept is 5
b)
x intercept is -3
y intercept is 5
y intercept is 5
c)
x intercept is 5
y intercept is -3
y intercept is -3
d)
x intercept is 3
y intercept is -5
y intercept is -5
19.
Find the x and y intercepts
4x - 5y = 40
4x - 5y = 40
a)
x intercept is 10
y intercept is 8
y intercept is 8
b)
x intercept is 10
y intercept is 20
y intercept is 20
c)
x intercept is 8
y intercept is 10
y intercept is 10
d)
x intercept is 10
y intercept is -8
y intercept is -8
20.
Change the following equation to slope-intercept form:
5x - 5y = 25
5x - 5y = 25
a)
y = x - 5
b)
y = 5x - 1
c)
y = -x + 5
d)
y = 5x + 1
21.
What is the slope intercept form of the equation
4x - 8y = 72
4x - 8y = 72
a)
y = -4x + 72
b)
y = -4x - 9
c)
y = 1/2x - 9
d)
y = 4x + 9
22.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined
23.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
24.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
25.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
26.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
27.
Which is NOT a correct point-slope equation for the line in #14?
a)
y - 0 = 1/2(x + 2)
b)
y - 1 = 1/2(x - 0)
c)
y + 2 = 1/2(x + 2)
d)
y - 2 = 1/2(x - 2)
28.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
29.
Which equation is being represented by this line?
a)
y = -1x + 2
b)
y = 1/2x + 2
c)
y = 3x -4
d)
y = -3x +2
30.
Graph x+y=3
a)
A
b)
B
c)
C
d)
D
31.
Graph 2x + 4y = 4
a)
b)
c)
d)
32.
-x + 2y = 3
a)
b)
c)
d)
33.
2x - 5y = 1
a)
b)
c)
d)
34.
y = 4 + 2x
a)
b)
c)
d)
35.
y = -x - 5
a)
b)
c)
d)
36.
x + y = 4
a)
b)
c)
d)
37.
x - y = -3
a)
b)
c)
d)
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