1. Algebra I Concept Test # 8 – Writing Linear Equations Practice Test
Use the given points to find the following:
(8, 4) and (− 4, − 5)
a) Find the slope of the line that goes through the two points.
y2 – y1
m =
Formula
x2 – x1 4 –
(− 5)
m =
Substitute 8 –
(− 4) 4 + 5
m =
Simplify 8 + 4 9 3
m =
m =
Reduce 12 4
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2. Algebra I Concept Test # 8 – Writing Linear Equations Practice Test
Use the given points to find the following:
(8, 4) and (− 4, − 5)
b) Find the y-intercept of the line that goes through the two points.
Slope intercept form: y = mx + b
Note: Substitute one of the given points and the calculated slope from part a into the slope intercept form of a linear equation to find b (the y-intercept).
(4) = (8) + b 3 4
Substitute
4 = b
Simplify
– 6
– 6
Subtract
− 2 = b
y-intercept: (0, − 2)

3. Algebra I Concept Test # 8 – Writing Linear Equations Practice Test
Use the given points to find the following:
(8, 4) and (− 4, − 5)
c) Write the equation in slope-intercept form.
Slope – intercept form: y = mx + b 3
Slope
m = 4
y-intercept
y-intercept: (0, − 2) 1 2 3 4 5
− 1
− 2
− 3
− 4
− 5 3 4
Equation
y = x – 2 4
d) Graph: 3
y-intercept: (0, − 2) 3 4
m =

4. Algebra I Concept Test # 8 – Writing Linear Equations Practice Test
Use the given points to find the following:
(8, 4) and (− 4, − 5)
e) Write the equation in function notation. 3
y = x – 2 4 3
f (x) = x – 2 4
f) Find f (− 8) 3 4
f (− 8) = (− 8) – 2
Substitute
f (− 8) = − 6 – 2
Simplify
f (− 8) = − 8

5. Algebra I Concept Test # 8 – Writing Linear Equations Practice Test
Given the following, write the equation of the line in
slope-intercept form that passes through the given
point and is: 2 5
y = x + 9
(10, 5)
Slope – intercept form:
y = mx + b
a) Parallel to the given line.
Note: Parallel lines have the same slope. 2
m =
Given point: (10, 5) 5 2 5
5 = (10) + b
Substitute
5 = b
Simplify
– 4
– 4
Subtract
1 = b 2 5
y = x + 1
Final Answer

6. Algebra I Concept Test # 8 – Writing Linear Equations Practice Test
Given the following, write the equation of the line in
slope-intercept form that passes through the given
point and is: 2
Slope – intercept form:
y = mx + b
y = x + 9
(10, 5) 5
b) Perpendicular to the given line.
Note: Perpendicular lines have opposite reciprocal
slopes. − 5
m =
Given point: (10, 5) 2
− 5 2
5 = (10) + b
Substitute
5 = − b
Simplify
+ 25
+ 25
Add
30 = b
− 5 2
y = x
Final Answer

7. Algebra I Concept Test # 8 – Writing Linear Equations Practice Test
Given the following, write the equation of the line in
slope-intercept form that passes through the given
point as is: 2
y = x + 9
(10, 5) 5
c) Write the given equation in standard form.
Standard Form: Ax + By = C
Where A, B, and C are integers 2 5 (
y = x + 9 ( ( ( 5
Multiply each term by the LCD 5 5
5y = 2x
Subtract
– 2x
– 2x
− 2x + 5y = 45

8. Algebra I Concept Test # 8 – Writing Linear Equations Practice Test
3. A group of adults and children attend the premiere of the ballet. An adult’s ticket cost $14.00 each and a child’s ticket cost $7.00 each. The total ticket sales equaled $420.00
a) Write an equation that represents the possible number of adult’s and children who attended.
Assign variables:
Let, a = the number of adults who attended
c = the number of children who attended
Set equal to the total
14a + 7c = 420

9. Algebra I Concept Test # 8 – Writing Linear Equations Practice Test
3. A group of adults and children attend the premiere of the ballet. An adult’s ticket cost $14.00 each and a child’s ticket cost $7.00 each. The total ticket sales equaled $420.00
b) If 40 children attended, how many adults attended?
14a + 7c = 420
Notice:
c = the # of children who attended.
Let, c = 40
14a + 7(40) = 420
Substitute
14a = 420
Simplify
– 280
– 280
Subtract
14a = 140
Divide 14 14
a = 10
a = the # of adults who attended.
10 adults attended

10. Dreams are reality dressed as hard work.
Algebra I Concept Test # 8 – Writing Linear Equations Practice Test
4. Given the graph below, write the equation of the line in slope – intercept form :
Dreams are reality dressed as hard work.
Slope – intercept form: y = mx + b
Identify the y-intercept: 3 4 5 6 -4 -3 -2 -1 7 1 -7 -6 -5 2
b = 4
− 1
Identify the slope: 3
− 1
m = 3
− 1
Substitute
y = x + 4 3