Question

determine the intercepts on x and y-axis for the straight line 3x+4y-12=0​

Answer 1

As the point A lies on the x - axis, its y coordinate =0.

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

So, length of AB=

(0−(−4))

2

+(3−0)

2

=

16+9

=

25

=5

Answer 2

Step-by-step explanation:

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