What is the point at which the line 2x + 4y − 1 = 0 cuts the x-axis? What about the y-axis?

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Solution

If a line cuts the x-axis, then the y-coordinate of that point should be zero.

For the equation, 2x + 4y − 1= 0, putting y = 0, we get:

2x + 4(0) − 1= 0

⇒ 2x − 1= 0

⇒ x =

Thus, the point at which the line 2x + 4y − 1= 0 cuts the x-axis is

Similarly, if a line cuts the y-axis, then the x-coordinate of that point should be zero.

For the equation, 2x + 4y − 1= 0, putting x = 0, we get:

2(0) + 4y − 1= 0

⇒ 4y − 1= 0

⇒ y =

Thus, the point at which the line 2x + 4y − 1= 0 cuts the y-axis is

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