Question

the graph of the linear equation 2 X + 3 Y is equals to 6 cuts the axis​

Answer 1

Answer:

At x-axis : (3,0)

At y-axis : (0,2)

Solution:

• Given equation : 2x + 3y = 6
• To find : Points of intersection of the line with coordinate axes .

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

Given equation is 2x + 3y = 6 .

We know that , at x-axis , the y-coordinate is zero .

Thus,

Putting y = 0 in the given equation , we get ;

=> 2x + 3×0 = 6

=> 2x + 0 = 6

=> 2x = 6

=> x = 6/2

=> x = 3

Hence,

The line will cut the x-axis at the point (3,0) .

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

Given equation is 2x + 3y = 6 .

We know that , at y-axis , the x-coordinate is zero .

Thus,

Putting x = 0 in the given equation , we get ;

=> 2•0 + 3y = 6

=> 0 + 3y = 6

=> 3y = 6

=> y = 6/'3

=> y = 2

Hence,

The line will cut the y-axis at the point (0,2) .