1. Given the equation,

4y = − 3x + 4

a) Rewrite the equation in slope-intercept form.

− 3 4

y = 1 OR (0, 1)

− 3 4

4 4 4

−3

4

Algebra I Concept Test # 7 – Graphing Lines Practice Test

Divide

m =

y = x + 1

b) Identify the slope.

c) Identify the y-intercept.

d) Graph: Note: Plot the y-intercept first, and then apply the slope.

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Slope – intercept form: y = mx + b

1 2

Note: To find the x-intercept, let y = 0.

Note: To find the y-intercept, let x = 0.

a) Find the x- and y-intercepts.

b) Graph:

c) Identify the slope.

2. Given the equation: x – 2y = 4 ,

x – intercept = (4, 0)

y – intercept = (0, – 2)

x – 2y = 4

2

4

x – 2y = 4

x - intercept y - intercept

x – 2(0) = 4x – 0 = 4

x = 4

0 – 2y = 4

– 2y = 4y = – 2

2 4

Algebra I Concept Test # 7 – Graphing Lines Practice Test

m = =

3.

a) On the coordinate plane provided, graph x = − 1

b) On the same coordinate plane, graph y = 4

c) Find the slope of x = − 1

d) Find the slope of y = 4

e) Identify the point of intersection

Undefined

0

(– 1, 4)

Algebra I Concept Test # 7 – Graphing Lines Practice Test

4. Using the following graph,

a) Find the y-coordinate when x = 0

y = − 3

x = 3

Algebra I Concept Test # 7 – Graphing Lines Practice Test

Notice: You are looking for the unknown coordinate of an ordered pair when a coordinate is given.

b) Find the x-coordinate when y = − 5

y = − 5

x = 0

5. Given the following graph:

a) Identify the slope

Algebra I Concept Test # 7 – Graphing Lines Practice Test

3 2

− 2 3

3 2

m =

m =

m =

b) Find the slope of a lineperpendicular to the given line.

c) Find the slope of a lineparallel to the given line.

6. Which of the following has a steeper slope:

Algebra I Concept Test # 7 – Graphing Lines Practice Test

y = x + 1 or13

y = x – 1

23

Note: The line with the steeper slope is the line that has the greater numerical slope value.

Notice, 2 3

1 3 >

y = x – 1 ,has the steeper slope. 23

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