Question

Drag each set of coordinates to the correct location on the table. Not all sets of coordinates will be used.
Points that two lines pass through are given in the table. Match each point of intersection to the correct pair of lines.

Answer 1

Given :    Line 1  ( 2, 5 ) , (-3 , - 5)

Line 2 ( 3, 0) , ( 0 , - 3)

To Find   : Point of intersection

Solution:

Line 1  ( 2, 5 ) , (-3 , - 5)

y - y₁  = { (y₂ - y₁)/(x₂ - x₁) } (x - x₁)      where m = (y₂ - y₁)/(x₂ - x₁)

y - 5 = {( -5 - 5)/(-3 - 2) }(x - 2)

=> y - 5 = 2 (x - 2)

=> y - 5 = 2x - 4

=>  2x  - y  =  - 1

Line 2 ( 3, 0) , ( 0 , - 3)

y - 0  = {(-3 - 0)/(0 - 3)} ( x - 3)

=> y = x - 3

=> x - y = 3

2x  - y  =  - 1

x - y = 3

=> x  = - 4

   y = -7

point of intersection  ( - 4 , - 7)

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