At what point the graph of x+y=5 cuts the axis

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Solution

You did not mention the axis in your question.

For obtaining the point at which the graph cuts the x axis, put y=0.(y coordinate is 0 for points at x axis)

For obtaining the point at which the graph cuts the y axis, put x=0.(x coordinate is 0 for points at y axis)

So x+y=5 cuts the x axis at (5,0) and cuts the y axis at (0,5)

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List I	List II
(A) $f (x) = cos x$	$1.$ The graph cuts y-axis in infinite number of points
(B) $f (x) = l n x$	$2.$ The graph cut x-axis in two points.
(C) $f (x) = x^{2} - 5 x + 4$	$3.$ The graph cuts y-axis in only one point
(D) $f (x) = e^{x}$	$4.$ The graph cuts x-axis in only one point
	$5.$ The graph cuts x-axis in infinite number of points

The graph of the linear equation: 2x+3y=6, cuts the y-axis at the point:

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