The equation of the line with the points (4,2) (6,4) (7,5) has to be determined.

Take any two of the points and find the equation between them. The equation between the points

(4, 2) and (7, 5) is

(y - 2)/(x - 4) = (5 - 2)/(7 - 4)

=> (y - 2) = (x - 4)

=> y - x + 2 = 0

Plotting this line:

it is verified that (6 , 4) also lies on the line.

**The line through the points (4,2) (6,4) (7,5) is y - x + 2 = 0**

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