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In your math notebook find the value of x so that the lines are parallel.

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Presentation on theme: "In your math notebook find the value of x so that the lines are parallel."— Presentation transcript:

1 In your math notebook find the value of x so that the lines are parallel.

2 Find and use slopes on lines:

3 The slope of a nonvertical line is the ratio of vertical change (rise) to horizontal change (run) between any two points on the line.

4 Find and use slopes on lines: The slope of a nonvertical line is the ratio of vertical change (rise) to horizontal change (run) between any two points on the line.

5 Find and use slopes on lines: Negative slope:

6 Find and use slopes on lines: Negative slope: Falls from the left to right.

7 Find and use slopes on lines: Negative slope: Falls from the left to right.

8 Find and use slopes on lines: Positive slope:

9 Find and use slopes on lines: Positive slope: Rises from left to right.

10 Find and use slopes on lines: Positive slope: Rises from left to right.

11 Find and use slopes on lines: Zero slope (slope of 0):

12 Find and use slopes on lines: Zero slope (slope of 0): Horizontal line.

13 Find and use slopes on lines: Zero slope (slope of 0): Horizontal line.

14 Find and use slopes on lines: Undefined slope:

15 Find and use slopes on lines: Undefined slope: Vertical line.

16 Find and use slopes on lines: Undefined slope: Vertical line.

17 Find and use slopes on lines: Find the slope of any line by using two points and the equation for M.

18 Find and use slopes on lines: Find the slope of A Find the slope of B Find the slope of C

19 Find and use slopes on lines: Find the slope of A Find the slope of B What do you notice about the slopes of A and B?

20 Find and use slopes on lines: Find the slope of A Find the slope of B What do you notice about the slopes of A and B? Parallel lines have the same slope.

21 Find and use slopes on lines: Find the slope of A Find the slope of B What do you notice about the slopes of A and B?

22 Find and use slopes on lines: Find the slope of A Find the slope of B What do you notice about the slopes of A and B? Perpendicular lines have negative inverse slopes.

23 Find and use slopes on lines: Find the slope of A Find the slope of B What do you notice about the slopes of A and B? Perpendicular lines have negative inverse slopes. Negative inverse means opposite signs and flipped.

24 Find and use slopes on lines: What kind of slope does each line have? A = B= C= D=

25 Find and use slopes on lines: Tell whether the liens through the given points are parallel, perpendicular, or neither. Line 1: (1,0), (7,4) Line 2: (7,0), (3,6) Line 1: (-3,1), (-7,-2) Line 2: (2,-1), (8,4)


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