NEW
Font size
S
M
L
XL
WorksheetsThree Forms of Linear Equations
Total questions: 27
Worksheet time: 1hrs 19mins
Name
Class
Date
1.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
2.
What is the slope in the equation: y=4x+3
a)
3
b)
4x
c)
4
d)
x
3.
What is the y-intercept in the following equation: y=-4x-5
a)
-4
b)
-4x
c)
5
d)
-5
4.
Which of these lines has a slope of -3?
a)
A
b)
B
c)
C
d)
D
5.
Write the following equation in slope-intercept form:
4x - 3y = 12
4x - 3y = 12
a)
y = -4/3x + 3
b)
y = -4x + 12
c)
y = 4/3x - 4
d)
y = 4/3x - 12
6.
Write the equation below in standard form
y = 2/3 x + 5.
y = 2/3 x + 5.
a)
-2/3x+y=5
b)
2x - 3y= -15
c)
-6/3x + 3y= 15
d)
-2x+3y=15
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
8.
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)
9.
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
10.
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+ 7 = 4(x - 4)
d)
y - 7 = -1/4(x - 4)
11.
What is the equation of the line graphed? (Click on the image to enlarge)
a)
y = 3x
b)
y = x - 3
c)
y = x + 3
d)
y = x
12.
What is the equation of the table? (Click on the image to enlarge)
a)
y = -2 + x
b)
y = x + 3
c)
y = x - 3
d)
y = x - 2
13.
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
14.
Write the equation of the line.
Slope = -4, passing through (-1, 5)
Slope = -4, passing through (-1, 5)
a)
y+5 = -4(x-1)
b)
y-5 = -4(x+1)
c)
y-5 = 4 (x-1)
d)
y = -4x - 9
15.
Write in standard form.
4x - 2y + 3 = 7 - 4y
4x - 2y + 3 = 7 - 4y
a)
4x + 2y = 4
b)
4x - 6y = 10
c)
4x + 6y = 4
d)
4x -2y = 4
16.
Write the standard form equation of a line that is parallel to 7x - 2y =14 and passes through (2, 3)
a)
x + y = 14
b)
2x - 7y = 14
c)
7x - 2y = 8
d)
7x + 2y = 20
17.
Write the following equation in slope intercept form:
y + 2 = -3(x - 5)
y + 2 = -3(x - 5)
a)
y = -3x + 17
b)
y = -3x + 13
c)
y = -3x - 13
d)
y = -3x - 17
18.
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)
19.
Write the standard form of an equation that is perpendicular to 2x - 5y = 10 and passes through (-2, 1).
a)
2x + 5y = 1
b)
2x - 5y = -9
c)
5x + 2y = -8
d)
5x - 2y = -12
20.
What is the slope of a line parallel to the line whose equation is: -2x + y = - 7?
a)
-2
b)
1/2
c)
-1/2
d)
2
21.
Write the equation of the line.
Slope = -4, passing through (-1, 5)
Slope = -4, passing through (-1, 5)
a)
y+5 = -4(x-1)
b)
y-5 = -4(x+1)
c)
y-5 = 4 (x-1)
d)
y = -4x - 9
22.
Give the slope and y-intercept
6x - 3y = -9
6x - 3y = -9
a)
slope is 6
y-intercept is 9
y-intercept is 9
b)
m=2
b=3
b=3
c)
slope is 2
y-intercept is -3
y-intercept is -3
d)
m = 3
b = 2
b = 2
23.
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)
24.
What would the graph of x = 6 look like?
a)
Vertical
b)
Horizontal
c)
Slanting from right to left
d)
Slanting from left to right
25.
Write the equation of point slope form given the following
(2,6), (5, 18)
(2,6), (5, 18)
a)
y-2=4(x-6)
b)
y-6=4(x-2)
c)
y+2=4(x+6)
d)
y+6=4(x+2)
26.
What is the equation of the line perpendicular to y = -3x + 10 that passes through the point
(0, -2).
(0, -2).
a)
y = 1/3x - 2
b)
y = 1/3x + 2
c)
y = -3x - 2
d)
y = -3x
27.
Transform to standard form: y=-1/2x+3
a)
1/2x+y=3
b)
x+2y=6
c)
2x+2y=6
d)
x+y=3
Reset
