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linear relations help

Mathematics
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What is the slope of the line that is perpendicular to y = 3x – 3?

What is the slope of the line that is parallel to y = 2x – 3?

Write the equation of the line with m = 4 and b = -2

What is the equation of the line between the points (2, 8) and (3, 2)?

Oct 2nd, 2014

1) y = 3x – 3  The number in front of x gives the slope 3

To find the perpendicular, make use of the two slopes multiply to give -1

So 3* p = -1

p= -1/3         and  perpendicular slope = -1/3

2) y = 2x – 3 The number in front of x gives the slope 2 

Parallel lines have the same gradient = 2

3) Using y = mx + b with m= 4 and  b= -2

gives y = 4x -2

4) equation of the line between the points (2, 8) and (3, 2)

m = 8 -2/ 2-3 = 6/-1 = -6

Mow use y -y1 = m (x- x1)

             y -2  = -6 (x -3)

              y -2 = -6x + 18   

              y =  -6x + 20

Oct 2nd, 2014

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