what equation would make this system have an infinnite number of solutions y=x+2 A. 2y=2x+2 B.y-2=x C.y=2x D.y=3x-1
+130516 The f third and fourth functions all have a different slope from the given one......so....they will each intersect the given equation in exactly one point.
The first equation has the same slope but a different y intercept from the given one.....thus, these two functions will never intersect......and thus, have no solution in common.....
The second function is exactly the same as the given one......thus....this "system" will have infinite solutions....
+23254 Two distinct, non-parallel, lines will intersect in only one point; that one point will be the solution of that system. Lines will be distinct if they either have different y-intercepts, different slopes, or both different y-intercepts and different slopes. This is situation C (different y-intercept) and situation D (different slope and different y-intercept)
To get an infinite number of solutions, you need both equations to reduce to the same equation.
Situtation B: y - 2 = x ---> y = x + 2, the same as the original equation; so this situation gives you an infinite number of solutions.
If you have two parallel lines (same slope but different y-intercepts), you will have no solution, because the lines do not intersect. This is situation A -- both have slope = 1, but the y-intercepts are different.
+130516 The f third and fourth functions all have a different slope from the given one......so....they will each intersect the given equation in exactly one point.
The first equation has the same slope but a different y intercept from the given one.....thus, these two functions will never intersect......and thus, have no solution in common.....
The second function is exactly the same as the given one......thus....this "system" will have infinite solutions....
