Question 121230
First convert the standard equation {{{x+2y=4}}} into slope intercept form


*[invoke converting_linear_equations "standard_to_slope-intercept", 1, 2, 4, 2, 1]


Now convert the standard equation {{{2x+4y=5}}} into slope intercept form


*[invoke converting_linear_equations "standard_to_slope-intercept", 2, 4, 5, 2, 1]




Since the two slopes are both {{{m=-1/2}}}, this means that the two slopes are equal. This also means that the two lines are parallel




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Answer:


So the lines {{{x + 2y = 4}}} and {{{2x + 4y =5}}} are parallel.