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The number of integer value of $m$ , for which the x-coordinate of the point of intersection of the lines $3 x + 4 y = 9$ and $y = m x$ + 1 is also an integer is

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Correct option is A

x-coordinate of the point of intersection is given by3 x+4(m x+1)=9x=53+4mAs x is an integer, 3 + 4m must be a divisor of 5SO 3+4m=±1 or ±5(considering the integer value only)

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The number of integer value of m, for which the x-coordinate of the point of intersection of the lines 3x + 4y = 9 and y = mx + 1 is also an integer is

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The number of integer value of $m$ , for which the x-coordinate of the point of intersection of the lines $3 x + 4 y = 9$ and $y = m x$ + 1 is also an integer is