[tex]2x+y=10\ \ | \ subtract\ 2x\ to\ both\ sides \\\\y=-2x +10\\\\ is \ a \ linear \ equation\\\\The \ graph \ of \ \ y= - 2x +10 \ \ is \ a \ straight \ line. \\\\slope: \ m=-2 \\y-intercept: \ b=10[/tex]
[tex]x=0\ \to \ \ y= - 2x +10=-2\cdot 0+10=0+10=10\\\\x=5\ \to \ \ y= - 2x +10=-2\cdot 5+10=-10+10= 0[/tex]