Question

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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Answer 1

1). 6x - 14 2). y = 1x + 1 3). y = -4x + 22 4).y = -7/2x + 51/2

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