What is the equation of this line ?.
Geometry
Level
1
Refer to the above figure what is the equation of the line AB ?.
X-Y = 5
X +Y = 5
X+Y = 10
Y-X = 5
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1 solution
Any line can be represented by the equation Y = m*X + C where m is the slope of the line. Using this let us plug in the two co-ordinates which the line passes through namely (0,5) and (5,0)
So 5 = 0 X + C; C = 5 and 0 = 5 m + 5 , m = -1. Hence the equation of the line is Y = -X = 5 or X+Y = 5.