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Worksheets

Graphing Lines and Collinearity

Total questions: 31

Worksheet time: 5hrs 55mins

Name
Class
Date
1.
Find the slope of:
(1,8) and (3,12)
a)
2
b)
1/2
c)
9/7
d)
-2
2.
Find slope of:
(-2,3) and (4,-5)
a)
4/3
b)
-4/3
c)
3/4
d)
-3/4
3.
Find the slope:
y = 2x + 3
a)
0
b)
3
c)
1.5
d)
2
4.
Find the slope:
a)
2
b)
-2
c)
1/2
d)
-1/2
5.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
6.
Find the slope and y - intercept
y = 1/2x - 1
a)
slope: 1/2   y-intercept:  -1 
b)
slope: 2/1   y-intercept:  -1
c)
slope: 3   y-intercept:  -3 
d)
slope: 2  y-intercept:  5 
7.
What is the y-intercept in the equation
y= - 2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
8.
What is the y-intercept?
y = 6x - 4 
a)
6/1
b)
1/6
c)
-4
d)
4
9.
What is the equation for this graph? 
a)
y=3x
b)
y=x+3
c)
y=x-3
d)
y=-3x
10.
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
11.
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)
12.

Write the equation in point-slope form for the line that contains the points (-2, -3), (4, 3).


This is a hard one! Find the slope of the two points and then plug one of the points in with the slope you found to the equation:

(y - y1) = m( x - x1)

a)

y - 3 = 1(x - 2)

b)

y + 3 = 1(x + 2)

c)

y -3 = -1(x + 2)

d)

y + 3 = -1(x - 2)

13.
Write an equation of a line in point-slope form with a slope of 6 that goes through (11, 5)
a)
y-5=6(x-11)
b)
y-11=6(x-5)
c)
y+5=6(x+11)
d)
y+11=6(x+5)
14.
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
15.
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)
16.

Write in slope intercept form:

5x - 3y = -9


Get it into y = mx + b form by getting the y all by itself!

a)

y = (5/3)x - 3

b)

y = (5/3)x + 9

c)

y = (5/3)x + 3

d)

y = (3/5)x + 3

17.
What is the slope of the line with the equation y - 5x = 11?
a)
-5
b)
11
c)
5
d)
-11/5
18.

Find the slope  and y-intercept of:

2x - 3y = -12

a)
slope = 2/3, y-intercept = -12
b)
slope = -2/3, y-intercept = -3
c)
slope = 2/3, y-intercept = 4
d)
slope = -12, y-intercept = -3
19.

Find the slope:

6x + -2y = 18

a)

slope = -6

b)

slope = -3

c)

slope = 3

d)

slope = 6

20.

What is the slope:

5x + 10y  = 30

a)

m = -1/2

b)

m = 1/2

c)

m = 3

d)

m = 1/3

21.
a)

y < (4/3)x + 3

b)

y > (4/3)x + 3

c)

y < (4/3)x - 4

d)

y > (4/3)x - 4

22.
a)

y < 2x + 1

b)

y < -2x + 1

c)

y < (1/2)x + 1

d)

y < (-1/2)x + 1

23.
a)

y > (3/2)x + 2

b)

y < (3/2)x + 2

c)

y > (3/2)x + 2

d)

y < (3/2)x + 2

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.

Which equation in Point-Slope form goes through the point (10,5) and has a slope of -3

a)

y - 5 = -3(x - 10)

b)

y= 4x + 35

c)

y + 5= -3(x + 10)

d)

y= -3x - 100

26.

What percent of your grade is the final exam worth?

a)

25%

b)

20%

c)

15%

d)

80%

27.

What is the equation of the line of best fit?

a)

y = -25x + 170

b)

y = -1x + 170

c)

y = 25x + 100

d)

y = 5/8x + 75

28.
n2⋅n4
a)
n2
b)
n8
c)
n6
d)
n²²
29.
Simplify the expression: 
c4⋅c3=
a)
c12
b)
c4+3
c)
c7
30.
Simplify the expression: r6⋅r2⋅r3=
a)
r6+2+3
b)
r11
c)
11r
31.
Evaluate using the quotient rule: 
a)
a8b13
b)
a2b7
c)
a15b30