Question

Draw the graph of equction 3x+y=6 also find the points when the line intersect x-axis and y- axis​

Answer 1

Answer:

(0,6) and (2,0) is the point when the line intersects x and y axes

Answer 2

Answer:

At x-axis : (2,0)

At y-axis : (0,6)

Solution:

Here,

The given equation of line is ;

3x + y = 6

We need to find the points where the line intersects the x-axis and y-axis .

★ For the point of intersection of line with x-axis :

Given line : 3x + y = 6

We know that ,

At x-axis the y-coordinate is zero .

Thus,

Putting y = 0 in the given equation ,

We get ;

=> 3x + y = 6

=> 3x + 0 = 6

=> 3x = 6

=> x = 6/3

=> x = 2

Hence,

The line will intersect with the x-axis at the point (2,0) .

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★ For the point of intersection of line with y-axis :

Given line : 3x + y = 6

We know that ,

At y-axis the x-coordinate is zero .

Thus,

Putting x = 0 in the given equation ,

We get ;

=> 3x + y = 6

=> 3•0 + y = 6

=> 0 + y = 6

=> y = 6

Hence,

The line will intersect with the y-axis at the point (0,6) .