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

Answer:The slope equation of the line AB is [tex](y -4) = \frac{1}{5} (x-7)[/tex]Step-by-step explanation:Here, the given points are A (2, 3) and B (7,4).Now, slope of any line is given as :[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]or, [tex]m = \frac{4 -3}{7-2}   = \frac{1}{5}[/tex]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:[tex](y  -4 ) = \frac{1}{5}  ( x - 7)[/tex]or, 5y  - 20 = x -7⇒  x - 57  + 13 = 0  ( SIMPLIFIED FORM of equation)Hence, the slope equation of the line AB is [tex](y -4) = \frac{1}{5} (x-7)[/tex]