y = 2x + 3
y = 2x + 4
yes they are parallel.
The parallel lines will have the same slope of -5 but with different y intercepts
Yes, you can determine the nature of a system of two linear equations by analyzing their slopes and intercepts. If the lines represented by the equations have different slopes, the system has one solution (they intersect at a single point). If the lines have the same slope but different intercepts, there is no solution (the lines are parallel). If the lines have the same slope and the same intercept, there are infinitely many solutions (the lines coincide).
coordinate planes, intercepts, #'s, ordered pairs..etc.
Yes!
yes they are parallel.
Parallel straight line equations have the same slope but with different y intercepts
No the only time that a system of equations would have no solutions is when the two equations have the same slope but different y-intercepts which would mean that they are parallel lines. However, if they have different slopes and different y-intercepts than the solution would be where the two lines intersect.
The statement - The graph of a system of equations with the same slope and the same y intercepts will have no solution is True
Both straight line equations will have the same slope or gradient but the y intercepts wll be different
If they have the same slope but different y intercepts then they are parallel
The parallel lines will have the same slope of -5 but with different y intercepts
Lines with the same slope but with different y intercepts are parallel.
Yes, you can determine the nature of a system of two linear equations by analyzing their slopes and intercepts. If the lines represented by the equations have different slopes, the system has one solution (they intersect at a single point). If the lines have the same slope but different intercepts, there is no solution (the lines are parallel). If the lines have the same slope and the same intercept, there are infinitely many solutions (the lines coincide).
If you mean: (2, 13) and (-4, -11) then the slope is 4 and both equations will have the same slope of 4 but with different y intercepts
coordinate planes, intercepts, #'s, ordered pairs..etc.
Actually not. Two linear equations have either one solution, no solution, or many solutions, all depends on the slope of the equations and their intercepts. If the two lines have different slopes, then there will be only one solution. If they have the same slope and the same intercept, then these two lines are dependent and there will be many solutions (infinite solutions). When the lines have the same slope but they have different intercept, then there will be no point of intersection and hence, they do not have a solution.