lesson 1-1 points and lines. objective: to find the intersection of two lines and to find the length...

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Lesson 1-1 Points and Lines

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Page 1: Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment

Lesson 1-1

Points and Lines

Page 2: Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment

Objective:

Page 3: Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment

Objective:

To find the intersection of two lines and to find the length and the coordinates

of the midpoint of a segment.

Page 4: Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment

Definitions:

Page 5: Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment

Definitions:

coordinates

Page 6: Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment

Definitions:

x-axis

Page 7: Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment

Definitions:

y-axis

Page 8: Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment

Definitions:

origin

Page 9: Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment

Definitions:

quadrants

Page 10: Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment

Definitions:

x-coordinate

Page 11: Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment

Definitions:

y-coordinate

Page 12: Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment

Definitions:

solution

Page 13: Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment

Definitions:

graph

Page 14: Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment

Definitions:

y-intercept

Page 15: Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment

Definitions:

x-intercept

Page 16: Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment

Definitions:

linear equation

Page 17: Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment

Definitions:

general form of a linear equation

Page 18: Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment

Sketch the graph of 3x + 2y = 18.

Page 19: Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment

Determine where the lines intersect.

2x + 5y = 103x + 4y = 12

Page 20: Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment

When two linear equations have no common solution, their graph

are ???

Page 21: Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment

When two linear equations have infinitely many solutions, their

graph are ???

Page 22: Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment

Solve. Then graph the solutions.

3x - y = 97x - 5y = 25

Page 23: Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment

Distance Formula:

Page 24: Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment

Midpoint Formula:

Page 25: Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment

If A = (-1, 9) and B = (4, -3), find the length of AB and the

coordinates of the midpoint of AB.

Page 26: Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment

Assignment:Assignment:

Pgs. 4-5 Pgs. 4-5 C.E.C.E. 1-10 all 1-10 all

W.E.W.E. 1, 3, 7, 10, 11 1, 3, 7, 10, 11