Answer :
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]