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Line S goes through the points (-3, 1) and (2,6). Line T goes through the points (0, 3) and (-2, 7). What is the point of intersection of line Sand line T.

 Feb 21, 2021
 #1
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Slope  of S  =  ( 6 - 1)  / ( 2 - -3) =  5 / 5   =1

Equation of S

y = (x - 2) + 6

y = x +  4

 

Slope  of  T   =  ( 7 - 3)  /( -2 - 0) =   4 / -2  = -2

Equation of  T

y = -2 x +  3

 

x  intersection of S  and  T

 

x +  4 =   -2x  + 3

2x + x  =   3  -  4

3x  = -1

x  = -1/3

 

y intersection of S and T

y = (-1/3) + 4  =   -1/3  + 12/3  =    11/3

 

Intersection pt   = (-1/3  ,11/3)

 

 

cool cool cool

 Feb 21, 2021

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