day 4 writing equations of lines.notebook
TRANSCRIPT
Day 4 Writing Equations of Lines.notebook1
August 19, 2016
Given Two Points
Write an equation in slopeintercept form for the line containing the given points.
FIRST, find the slope. THEN, choose one of the two points to set up the equation.
3. (1, 5) and (2, 3)
Example:
Given Two Points
Write the equation of the line that passes through the given points:
4. (2, 4) and (4, 1)
5. xintercept of 2 and yintercept of 2
Day 4 Writing Equations of Lines.notebook
2
The slopes of parallel lines are always _________________ .
Write the equation of a line that:
6) passes through (4, 5) and is parallel to y = 3/2 x + 6
Example:
3. y = 1/2 x + 1/3 4. x = 1
5. y = 1/2 x 11/2 6. x = 4
7. y = x 4 8. y = 3/2 x + 11/2
9. x = 7 10. y = x 1
11. y = 5/4 x 5 12. y = 8x + 16/3
HW Answers
3
Write the equation of a line that:
7) passes through (6, 4) and is perpendicular to y = 3/4 x + 2
Example:
Parallel/Perp Slope
Write the equation of a line that:
8) passes through (1, 3) and is perpendicular to 2x + 5y = 15
Example:
4
Write the equation of a line that
9. passes through (3,4) and is perpendicular to x = 7
10. passes through (4, 10) and is parallel to x = 5
Equations of Horizontal and Vertical Lines horizontal line vertical line y = # x = #
Horizontal is parallel to horizontal. Vertical is parallel to vertical.
Horizontal is perpendicular to vertical.
Examples:
11. is horizontal and passes through (3, 1)
12. is vertical and passes through (2, 7)
13. that passes through (4, 5) and (4, 7)
Examples:
5
Practice
1. Write the equation of a line that passes through (5, 3) and has slope m = 4.
2. Write the equation of a line that passes through (1, 3) and is parallel to 2x y = 1
3. Write the equation of a line that passes through (4, 7) and is perpendicular to y = 4/5 x 1.
4. Write the equation of the vertical line that passes through (2, 7).
PRACTICE
Use the Intercepts!!
Find the y-intercept by letting x = 0 and solving for y.
EXAMPLES: 1. 2x - 3y = 6 2. 5x + 3y = 15
Find the x-intercept by letting y = 0 and solving for x.
Attachments
Worksheet Write Linear Equations.doc
Chapter 2, Section 4
Algebra 2 CP2
Name ____________________________________________
Write an equation of the line that passes through the given point and has the given slope.
1. (0, – 2), m = – 2 2. (4, – 1), m = 1 3. (– 3, – 7), m = 2
Write an equation of the line that passes through the given point and is a) parallel to the given line and b) perpendicular to the given line.
4. (1, 1);
-
=
5. (4, – 9); x = 2 6. (6, – 4); y = – 2x – 5
Write an equation of the line that passes through the given points.
7. (1, 1) and (5, 9) 8. (– 1, 4) and (2, 16) 9. (2, –1) and (1, – 6)
10. (7, 8) and (2, 18)
Chapter 2, Section 4
Algebra 2 CP2
Name ____________________________________________
Write an equation of the line that passes through the given point and has the given slope.
1. (0, – 2), m = – 2 2. (4, – 1), m = 1 3. (– 3, – 7), m = 2
Write an equation of the line that passes through the given point and is a) parallel to the given line and b) perpendicular to the given line.
4. (1, 1);
-
=
5. (4, – 9); x = 2 6. (6, – 4); y = – 2x – 5
Write an equation of the line that passes through the given points.
7. (1, 1) and (5, 9) 8. (– 1, 4) and (2, 16) 9. (2, –1) and (1, – 6)
10. (7, 8) and (2, 18)
_1313508505.unknown
2. passes through (– 4, – 1) and has slope
2
3
3. passes through (5, 6) and (7, 6).
4. passes through (– 3, 1) and (6, – 2).
5. passes through (2, – 1) and parallel to the line y = – 2x + 3.
6. passes through (8, 5) and perpendicular to y =
5
x
3
1
+
-
.
7. passes through (– 2, 6) and perpendicular to the line y =
4
7
x
4
1
-
.
8. passes through (4, – 3) and parallel to the line y =
5
x
2
5
+
-
.
9. passes through (– 4, 8) and is perpendicular to y = 3.
10. passes through (– 3, – 5) and is parallel to x = 9.
Worksheet: Write Linear Equations
2. passes through (– 4, – 1) and has slope
2
3
3. passes through (5, 6) and (7, 6).
4. passes through (– 3, 1) and (6, – 2).
5. passes through (2, – 1) and parallel to the line y = – 2x + 3.
6. passes through (8, 5) and perpendicular to y =
5
x
3
1
+
-
.
7. passes through (– 2, 6) and perpendicular to the line y =
4
7
x
4
1
-
.
8. passes through (4, – 3) and parallel to the line y =
5
x
2
5
+
-
.
9. passes through (– 4, 8) and is perpendicular to y = 3.
10. passes through (– 3, – 5) and is parallel to x = 9.
_1091687291.unknown
_1313837096.unknown
_1313837154.unknown
_1091683892.unknown
Octavia
Nia
Ben
Devon
Alyssa
Kendell
Brett
Taylor
Caleb
Jonathan
Daniel
Win
August 19, 2016
Given Two Points
Write an equation in slopeintercept form for the line containing the given points.
FIRST, find the slope. THEN, choose one of the two points to set up the equation.
3. (1, 5) and (2, 3)
Example:
Given Two Points
Write the equation of the line that passes through the given points:
4. (2, 4) and (4, 1)
5. xintercept of 2 and yintercept of 2
Day 4 Writing Equations of Lines.notebook
2
The slopes of parallel lines are always _________________ .
Write the equation of a line that:
6) passes through (4, 5) and is parallel to y = 3/2 x + 6
Example:
3. y = 1/2 x + 1/3 4. x = 1
5. y = 1/2 x 11/2 6. x = 4
7. y = x 4 8. y = 3/2 x + 11/2
9. x = 7 10. y = x 1
11. y = 5/4 x 5 12. y = 8x + 16/3
HW Answers
3
Write the equation of a line that:
7) passes through (6, 4) and is perpendicular to y = 3/4 x + 2
Example:
Parallel/Perp Slope
Write the equation of a line that:
8) passes through (1, 3) and is perpendicular to 2x + 5y = 15
Example:
4
Write the equation of a line that
9. passes through (3,4) and is perpendicular to x = 7
10. passes through (4, 10) and is parallel to x = 5
Equations of Horizontal and Vertical Lines horizontal line vertical line y = # x = #
Horizontal is parallel to horizontal. Vertical is parallel to vertical.
Horizontal is perpendicular to vertical.
Examples:
11. is horizontal and passes through (3, 1)
12. is vertical and passes through (2, 7)
13. that passes through (4, 5) and (4, 7)
Examples:
5
Practice
1. Write the equation of a line that passes through (5, 3) and has slope m = 4.
2. Write the equation of a line that passes through (1, 3) and is parallel to 2x y = 1
3. Write the equation of a line that passes through (4, 7) and is perpendicular to y = 4/5 x 1.
4. Write the equation of the vertical line that passes through (2, 7).
PRACTICE
Use the Intercepts!!
Find the y-intercept by letting x = 0 and solving for y.
EXAMPLES: 1. 2x - 3y = 6 2. 5x + 3y = 15
Find the x-intercept by letting y = 0 and solving for x.
Attachments
Worksheet Write Linear Equations.doc
Chapter 2, Section 4
Algebra 2 CP2
Name ____________________________________________
Write an equation of the line that passes through the given point and has the given slope.
1. (0, – 2), m = – 2 2. (4, – 1), m = 1 3. (– 3, – 7), m = 2
Write an equation of the line that passes through the given point and is a) parallel to the given line and b) perpendicular to the given line.
4. (1, 1);
-
=
5. (4, – 9); x = 2 6. (6, – 4); y = – 2x – 5
Write an equation of the line that passes through the given points.
7. (1, 1) and (5, 9) 8. (– 1, 4) and (2, 16) 9. (2, –1) and (1, – 6)
10. (7, 8) and (2, 18)
Chapter 2, Section 4
Algebra 2 CP2
Name ____________________________________________
Write an equation of the line that passes through the given point and has the given slope.
1. (0, – 2), m = – 2 2. (4, – 1), m = 1 3. (– 3, – 7), m = 2
Write an equation of the line that passes through the given point and is a) parallel to the given line and b) perpendicular to the given line.
4. (1, 1);
-
=
5. (4, – 9); x = 2 6. (6, – 4); y = – 2x – 5
Write an equation of the line that passes through the given points.
7. (1, 1) and (5, 9) 8. (– 1, 4) and (2, 16) 9. (2, –1) and (1, – 6)
10. (7, 8) and (2, 18)
_1313508505.unknown
2. passes through (– 4, – 1) and has slope
2
3
3. passes through (5, 6) and (7, 6).
4. passes through (– 3, 1) and (6, – 2).
5. passes through (2, – 1) and parallel to the line y = – 2x + 3.
6. passes through (8, 5) and perpendicular to y =
5
x
3
1
+
-
.
7. passes through (– 2, 6) and perpendicular to the line y =
4
7
x
4
1
-
.
8. passes through (4, – 3) and parallel to the line y =
5
x
2
5
+
-
.
9. passes through (– 4, 8) and is perpendicular to y = 3.
10. passes through (– 3, – 5) and is parallel to x = 9.
Worksheet: Write Linear Equations
2. passes through (– 4, – 1) and has slope
2
3
3. passes through (5, 6) and (7, 6).
4. passes through (– 3, 1) and (6, – 2).
5. passes through (2, – 1) and parallel to the line y = – 2x + 3.
6. passes through (8, 5) and perpendicular to y =
5
x
3
1
+
-
.
7. passes through (– 2, 6) and perpendicular to the line y =
4
7
x
4
1
-
.
8. passes through (4, – 3) and parallel to the line y =
5
x
2
5
+
-
.
9. passes through (– 4, 8) and is perpendicular to y = 3.
10. passes through (– 3, – 5) and is parallel to x = 9.
_1091687291.unknown
_1313837096.unknown
_1313837154.unknown
_1091683892.unknown
Octavia
Nia
Ben
Devon
Alyssa
Kendell
Brett
Taylor
Caleb
Jonathan
Daniel
Win