Write an explanation for both Part A and Part B using 3-4 complete sentences. Part A: Explain how you can determine if a system
of equations will have no solution when comparing the graph of the equations. Part B: Explain how you can determine if a system of equations has no solution by comparing each algebraic equation. Be sure that your explanation includes 3 of the 4 words below: parallel, slope, y-intercept, slope intercept form
Part A : when comparing graphs : A system of equations will have no solutions (on a graph) when your lines never cross each other. They never cross each other because your lines are parallel.
Part B : by comparing each algebraic equation : A system of equations will have no solution if your lines are parallel. Parallel lines will have the same slope but different y intercepts. Example :
2x - y = 2
4x - 2y = 8
put both equations in slope intercept form
y = 2x - 2
y = 2x - 4
they both have the same slope of 2.....and the y intercepts are different....meaning they are parallel lines and have no solutions
