Question

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▶Find the slope of the line passing the two given points
(2a, 3b) and (a, -b)

Answer 1

Solution :

Let A( x1 , y1 ) = ( 2a , 3b ) ,

B( x2 , y2 ) = ( a , -b ),

Slope of a line AB ( m ) = ( y2 - y1 )/( x2 - x1 )

= ( -b - 3b )/( a - 2a )

= ( -4b )/( -a )

= 4b/a

Therefore ,

Slope of a line AB = m = 4b/a

••••

Answer 2

$Here\: is\:your\: answer\:$

$\textbf{Given}$

The points are (2a, 3b) and (a, -b)

$\textbf{We have to find the slope Now}$

Therefore,
The Equation of slope is :-

= $\frac{-b-3b}{a-2a}$

= $\frac{-4b}{-a}$

= $\frac{4b}{a}$ (by cancelling minus)

The slope of the line is $\frac{4b}{a}$

$\textbf{Hope this helps you}$