Question

Find out the length of the given equation
that intersects two coordinate axis.
5x + 12y - 60 = 0​

Answer 1

Answer:

The given equation of line is :

5x+12y−60=0

5x+12y=60

12 + 5

x.. ...y =1

Hence, x−intercept is 12.

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Answer 2

Answer:

length in x axis is 12.

length in y axis is 5.

Step-by-step explanation:

length that the line 5x+12y-60=0 intersect with x y co-oridinate plane is found by

x intercept and y intercept.

X intercept: The coordinate where the line intersects the x coordinate.

Y intercept: The coordinate where the line intersects the y coordinate.

here,length of the linear equation 5x+12y-60=0 in x y plane with X coordinate,

X intercept =

substitute y=0 in 5x+12y-60=0

that is,5x=60

therefore X=12.

hence,length of the linear equation 5x+12y-60=0 in x y plane = 12 units.

Similarly

Length of the linear equation 5x+12y-60=0 in x y plane with y coordinate,

Y intercept =

substitute X=0 in 5x+12y-60=0,

that is,12y=60 implies y=5.

that is length of the equation 5x+12y-60=0 with two coordinate axis is X=12 units and Y=5 units.