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Graphing Point Slope

Total questions: 26

Worksheet time: 6hrs 3mins

Name
Class
Date
1.
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
2.
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
3.
For the equation
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)
4.
For the equation
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
5.
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
a)
y +7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y+ 7 = 4(x - 4)
d)
y - 7 = -1/4(x - 4)
6.
Write the equation in point-slope form of the line that passes through the given point and has the given slope:
 (-2, -1); m= -3
a)
y + 1 = -3(x - 2)
b)
y + 1 = -3(x + 2)
c)
y - 1 = 3(x - 1)
d)
y + 2 = -3(x + 1)
7.
a)
y=2x+7
b)
y=-3x-5
c)
y=2x-1
d)
y=2x+6
8.
a)
y=2x+7
b)
y=-3x-5
c)
y=2x-1
d)
y=2x+6
9.
a)
y= 3/4 x + 3
b)
y= 1/2 x +3
c)
y= 2x+3
d)
y=2x-7
10.
Write the equation in point-slope form for the line that contains the points
(-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)
11.
Determine the slope and y-intercept from the following equation:   4x + y = -10
a)
slope: 4   y-intercept:  (0,10)
b)
slope: -4   y-intercept:  (0,-10)
c)
slope: -4   y-intercept:  (0,10)
d)
slope: 4   y-intercept:  (0,-10)
12.
What type of slope?
a)
negative
b)
positive
c)
zero slope
d)
downward slope
13.
What type of slope?
a)
undefined
b)
positive slope
c)
negative slope
d)
zero slope
14.
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
a)
y +7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y+ 7 = 4(x - 4)
d)
y - 7 = -1/4(x - 4)
15.
Write the equation in point-slope form of the line that passes through the given point and has the given slope:
 (-2, -1); m= -3
a)
y + 1 = -3(x - 2)
b)
y + 1 = -3(x + 2)
c)
y - 1 = 3(x - 1)
d)
y + 2 = -3(x + 1)
16.
Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3
a)
y-5=-3(x-10)
b)
y=-3x+35
c)
y+5=-3(x+10)
d)
y=-3x-35
17.
Write the equation of a line parallel to the one pictured through the point (3,1) in point slope form.
a)
y-1=1/2(x-3)
b)
y+1=1/2(x+3)
c)
y-1=-1/2(x-1)
d)
y+1=-1/2(x+3)
18.
Write an equation  
m = 5/4 through (-4, -3)
a)
y = 5/4x +2
b)
y = -5/4x + 2
c)
y = 2x - 5/4
d)
y = 3/4x + 2
19.
Write an equation 
m = 1/3 through (4, 4)
a)
y = -1/3x + 8/3
b)
y = 8/3x - 1/3
c)
y = 8/3x + 1/3
d)
y = 1/3x + 8/3
20.
Write an equation  
m = -1/2 through (-2, 4)
a)
y = -3/2x + 3
b)
y = 3/2x + 3
c)
y = -1/2x + 3
d)
y = 3x - 3/2
21.
Write an equation  
m = 5 through (-1, -3)
a)
y = 5x + 2
b)
y = -5x - 5
c)
y = -5x + 2
d)
y = 2x - 5
22.
For the equation 
y - 3 = 2(x + 4), 
what is the ordered pair?
a)
(-4, 3)
b)
(3, -4)
c)
(-3, -4)
d)
(-4, -3)
23.
For the equation 
y + 1 = -3(x - 5), 
What is the slope?
a)
-1
b)
1
c)
-3
d)
5
24.
For the equation
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)
25.
For the equation
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
26.
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
a)
y +7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y+ 7 = 4(x - 4)
d)
y - 7 = -1/4(x - 4)