Phương trình đi qua A, B là \(\left(d\right)y=ax+b\)
\(A\left(2;-3\right)\in\left(d\right)\Rightarrow2a+b=-3\left(1\right)\)
\(B\left(3;4\right)\in\left(d\right)\Rightarrow3a+b=4\left(2\right)\)
Từ \(\left(1\right);\left(2\right)\Rightarrow\left\{{}\begin{matrix}a=7\\b=-17\end{matrix}\right.\Rightarrow\left(d\right)y=7x-17\)
\(M\left(x_0;0\right)\in\left(d\right)\Rightarrow x_0=\frac{17}{7}\Rightarrow M\left(\frac{17}{7};0\right)\)