Determine the equations of the straight lines passing through the following pairs of points.
1)(2,-2) and (3, 4)
2)(-3, -2) and (1,2)
3)(4,6) and (5,2)
4)(5,8) and (7, 1)
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1). 6x - 14    2). y = 1x + 1       3). y = -4x + 22     4).y = -7/2x + 51/2

Step-by-step explanation:

1). y2 - y1 / x2 - x1      4 - (-2) / 3-2         = 6

y = 6x + b           4 = 6(3) + b      4 = 18 + b        -14 = b

y = 6x - 14

2). 2 - (-2) / 1 - (-3)      = 1

y = 1x + b        2 = 1(1) + b     2 = 1 + b    1 = b

y = 1x + 1

3).  2 - 6 / 5 - 4      = -4

y = -4x + b      6 = -4(4) + b      6 = -16 + b       22 = b

y = -4x + 22

4). 1 - 8 / 7 - 5      = -7/2

y = -7/2x + 51/2

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12