Answer:
To find the co-ordinates of the point A, substitute y=0 in the equation of the line 3x−4y+12=0.
Hence, 3x−4(0)+12=0.
=>3x=−12
=>x=−4
So, point A =(−4,0)
Similarly, as the point B lies on the y - axis, its x coordinate =0.
To find the co-ordinates of the point B, substitute x=0 in the equation of the line 3x−4y+12=0.
Hence, 3(0)−4y+12=0.
=>4y=12
=>y=3
So, point B =(0,3)
Formula to calculate distance between two points (x
1
,y
1
) and (x
2
,y
2
)=
(x
2
−x
1
)
2
+(y
2
−y
1
)
2
So, length of AB=
(0−(−4))
2
+(3−0)
2
=
16+9
=
25
=5
Explanation: