Question

A system of equations are graphed on the coordinate plane. Select the numbers of solutions for the system equations from the drop down menu.

Y = 1/2x + 4
Y = 1/2x + 3

A: No solution
B: one solution
C: infinitely many solutions

Answer 1

No solution.

Explanation:

If two lines have the same slope, but different y-intercepts, then they are parallel, meaning they never touch, meaning they have no solutions. However, if two lines have the same y-intercepts but different slopes, then the only solution will be at the y-intercept. However, if two two lines are exactly the same, then there are infinitely many solutions.