Complete the slope equation of the line through 2,3 and 7, 4

y-4=

The slope equation of the line AB is

Step-by-step explanation:

Here, the given points are A (2, 3) and B (7,4).

Now, slope of any line is given as :

or,

Hence, the slope of the line AB is (1/5)

Now , A POINT SLOPE FORM of an equation is

(y - y0)  = m (x - x0) ; (x0, y0)  is any arbitrary point on line.

Hence, the equation of line AB with slope (1/5 )  and point (7,4) is given as:

or, 5y  - 20 = x -7

⇒  x - 57  + 13 = 0  ( SIMPLIFIED FORM of equation)

Hence, the slope equation of the line AB is

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step-by-step explanation: