Question

Soreasu by
4. Reduce the equation 3x - 4y + 12 = 0 to intercepts form. Hence, finds
length of the portion of the line intercepted between the axes.

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Answer 1

Answer:

y=3x/4 + 3. Intercept is 3. Length of intercept between coordinate axes is 5.

Step-by-step explanation:

The answer is given in the figure attached with this.

Answer 2

Answer:

3x -4y +12 =0

REDUCE IT IN DOUBLE-INTERCEPT FORM

or,3x -4y=-12

or,3x/(-12) -4y/(-12) = 12

or,x/(-4) + y/(3)= 1

NOW,COMPARE IT WITH STANDARD EQUATION OF

DOUBLE INTERCEPT FORM

i.e

x/a +y/b=1

we get,

a= -4 and b =3

now,

as a is the point on x - axis and b is the point on y-axis

so,

take out the distance bet. two points

i.e.

A=(-4,0) AND B=(0,3)

SO USING DISTANCE FORM.

WE GET,

AB= {(X2 -X1)^2 +(Y2-Y1)^2} ^(1/2)

SKIPPING ONE STEP;

OR, AB=$\sqrt{(-4)^{2} +3^{2} }$

∴ AB =$\sqrt{25 }$ =$\sqrt{5^{2} }$ =5 UNITS IS THE LENGTH OF THE PORTION

THANK YOU!