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Example Find the slope of the graph y = -3x + 1 using coordinates.

Solution : y = -3x + 1, put x = 1, then y = -3(1) + 1 = -2

Let A(1, -2)

and put x = -1 then y = -3 (-1) +1 = 4

Let B (-1, 4)

Pick these two points A(1,-2) and B(-1,4) and calculate the slope 'm'

Example Are the two lines y + x = 2 and y = x + 4 parallel?

Solution : y + x = 2 put x = 1 then y = 1. Let A(1,1)

put x = -1 then y = 3. Let B (-1, 3)

Therefore, the slope of line AB i.e. y + x = 2 is

Also y = x + 4 put x =1 then y = 5 Let C (1,5) and

put x = -1 then y = 3 Let D (-1,3)

Therefore, slope of line CD i.e. y = x + 4 is

Since the two slopes m1 and m2 are not equal the two lines are not parallel to each other.

Index

8.1 Definition
8.2 Relations, Graphs and Symmetry
8.3 Slopes and Intercepts

Chapter 9

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