Free Printable 7-3 Graphing Lines y=mx+b form Assignment

1.

Identify the slope of the line.

y = 3x - 4

4 lines

2.

Identify the y-intercept of the line.

y = 3x - 4

(one number only)

4 lines

3.

Draw a line through the point (3,2) with slope = 4.

4.

Draw a line through (-5,1) with slope = $-\frac{1}{2}$ .

5.

Draw a line through B(-3,4) with slope = -2.

6.

Draw a line through (-2,-1) with slope = $\frac{2}{7}$

7.

Graph the line y = 3x - 4.

8.

What is the y-intercept of the line graphed below?

a)

3

b)

4

c)

-3

d)

4/3

9.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

d)

y=2/3x+3

10.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

11.

How would you graph y = 3/4x?

a)

Begin at the 3 then go up 4 and place a point

b)

Begin at (0,0) put a point Go up 4 right 3 put a point

c)

Begin at (0,0) put a point. Go up 3, right 4 put a point

d)

Begin at 4 put a point. Go up 3 right 1 put a point

12.

Match the following

a)

independent variable

1.

x

b)

dependent variable

2.

y

c)

slope

3.

m

d)

y-intercept

4.

b

e)

operator

5.

+/-

13.

The equation of a line can be written in the form (a) , where (b) represents the (c) and (d) represents the (e) .

Choose from the below words

y=mx+b

m

slope

b

y-intercept

independent variable

x-intercept

origin

14.

Move the points on the graph to draw the line -3x + 9.

15.

Move the points on the graph to draw the line

y = -7x +5.

16.

Match the following

a)

1.

b = 2

b)

2.

b = -7

c)

3.

b = -2

d)

4.

b = 3

e)

5.

b = 6

17.

Match the following

a)

1.

m = $-\ \frac{5}{3}$

b)

2.

m = 2

c)

3.

m = $-\frac{2}{3}$

d)

4.

m= $-\ \frac{3}{4}$

e)

5.

m = -3

18.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

19.

Simplify the Expression:

9xy + 3x - 6xy + 2x

a)

3xy + 5x

b)

8xy

c)

8x

d)

15xy + 5x

20.

Which operation is performed FIRST?
(13 - 1) + 4

a)

addition

b)

subtraction

c)

multiplication

21.

Which operation is performed SECOND?
(13 - 1) + 4

a)

addition +

b)

subtraction -

c)

multiplication X

22.

Which operation is performed FIRST:
38 + (9 x 6) ÷ 3

a)

addition +

b)

division ÷

c)

multiplication X

23.

Which operation is performed SECOND :
38 + (9 x 6) ÷ 3

a)

multiplication

b)

addition

c)

division

24.

A _____________ is a symbol, usually a letter that stands for a number.

a)

coefficient

b)

algebraic expression

c)

variable

d)

term

25.

Are the following expressions equivalent?

4( y - 1) and 1 + 4y

a)

yes

b)

no

26.

Which expression is equivalent to:
6m − m

a)

5m

b)

7m

c)

8m

d)

5

27.

Which expression is equivalent to
v + v + v + v + v?

a)

5v

b)

v⁵

c)

v + 5

d)

v5

28.

Use the distributive property to find an equivalent expression: 5(2f + 4)

a)

10f + 4

b)

10f + 9

c)

10f + 20

d)

30f

29.

Choose number lines that display $\frac{1}{2}$ and its opposite.

a)

b)

c)

d)

30.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

31.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

32.

What is the rate of change

a)

+5

b)

+31.25

c)

+10

d)

+62.5

1

2

1)

2)

33.

Which of the following is the correct write the slope formula for the points (2, 4) and (6, 12)? Select all that apply.

a)

$\frac{2-4}{6-12}$

b)

$\frac{12-4}{6-2}$

c)

$\frac{4-12}{6-2}$

d)

$\frac{4-12}{2-6}$

34.

Match the Graph with its slope.

a)

1.

Negative

b)

2.

Positive

c)

3.

Zero

d)

4.

Undefined

35.

Using the equation $1=8\left(-3\right)+b_{\ }$ what is the y intercept?

(a)

36.

The coordinates of point P are (a) , point N are (b) , S are (c) and M are (d) .

Choose from the below words

(2,-3)

(6,0)

(-9,0)

(7,-9)

(-3,2)

(0,6)

(-9,7)

(0,-9)

37.

The location where the line crosses the y-axis is called the...

a)

slant

b)

slope

c)

y-intercept

d)

x-intercept

38.

Slope is best described as_________________

a)

steepness of a line

b)

length of a line

c)

width of a line

d)

Height of a line

39.

Match the graph description with the correct slope

a)

Horiztional Line

1.

0

b)

Vertical Line

2.

Undefined

c)

UpHill Line

3.

2

d)

DownHill Line

4.

-5

40.

Match each slope with the correct equation.

a)

$-1$

1.

$y=-x-2$

b)

$1$

2.

$y=x+2$

c)

$-\frac{1}{2}$

3.

$y=-\frac{1}{2}x+1$

d)

$-2$

4.

$y=-2x-1$

e)

$2$

5.

$y=2x-\frac{1}{2}$

7-3 Graphing Lines y=mx+b form Assignment

Total questions: 40

Worksheet time: 2hrs 36mins

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