WorksheetsLinear Equation from Point and Slope
Total questions: 28
Worksheet time: 2hrs 38mins
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
d)
y=kx
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
d)
y=kx
3.
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
4.
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)
5.
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
6.
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)
7.
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
8.
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)
9.
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)
10.
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)
11.
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
12.
Write the equation of a line parallel to the one pictured through the point (3,1) in point slope form.
(HINT: PARALLEL LINES HAVE THE SAME SLOPE)
(HINT: PARALLEL LINES HAVE THE SAME SLOPE)
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)
13.
Write the equation of a line to through the point (3,1) with a slope of -2 in point slope form.
a)
y - 1 = 1/2 (x - 3)
b)
y + 1 = 2 (x + 3)
c)
y - 1 = - 1/2 (x - 1)
d)
y - 1 = - 2 (x - 3)
14.
Write the equation of a line vertical to a line through the point (3,1) in point .
a)
x =3
b)
x = 1
c)
y=3
d)
y= 1
15.
Write an equation in slope-intercept form that has 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
16.
Write an equation in slope-intercept form that has m = 5 through (-1, -3)
a)
y = 5x + 2
b)
y = -5x - 5
c)
y = -5x + 2
d)
y = 2x - 5
17.
How would you write the points (3,8) and (0,-2) in functional notation
a)
f(x) = 8, f(x) = -2
b)
f(8)= 3, f(-2) = 0
c)
f(3) = 8, f(0) = -2
d)
f(3) = y f(0) = y
18.
Find the slope.
a)
7/3
b)
-7/3
c)
3/7
d)
-3/7
19.
Find the slope
a)
2/3
b)
-3/2
c)
3/2
d)
-2/3
20.
Find the slope.
a)
0
b)
x = -4
c)
y=-4
d)
Undefined
21.
Find the slope of the following two points (-10,13) and (-5,3)
a)
1/2
b)
-2
c)
2
d)
-1/2
22.
What does 'b" represent in y=mx+b?
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
23.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
24.
Write the equation for the line.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
25.
What is the equation of the line given this table?
a)
y= 4x + 8
b)
y = -4x +8
c)
y =4x
d)
y=-4x
26.
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)
27.
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)
28.
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
(-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)
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