Verify if the lines x-3y-2=0 and 2x+y-5=0 are intersecting .
The lines can be written in the slope intercept form y = mx + c
x- 3y - 2 = 0
=> 3y = x - 2
=> y = x/3 - 2/3
The slope is 1/3
2x + y - 5 = 0
=> y = -2x + 5
The slope is -2
As the slope of the two lines is not the same, they are not parallel, therefore they are intersecting as they don't have the same slope.
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