Question

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

Answer 1

Answer:

The slope equation of the line AB is $(y -4) = \frac{1}{5} (x-7)$

Step-by-step explanation:

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

Now, slope of any line is given as :

$m = \frac{y_2 - y_1}{x_2 - x_1}$

or, $m = \frac{4 -3}{7-2} = \frac{1}{5}$

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:

$(y -4 ) = \frac{1}{5} ( x - 7)$

or, 5y  - 20 = x -7

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

Hence, the slope equation of the line AB is $(y -4) = \frac{1}{5} (x-7)$