1. create a single variable linear equation that has no solution. solve the equation algebraically to prove that it does not have a solution. 2. create a single variable linear equation that has one solution. solve the equation algebraically to prove that there is one distinct solution for the equation. 3. create a single variable linear equation that has infinitely many solutions. solve the equation algebraically to prove that there is an infinite number of solutions for the equation

1. a single variable linear equation that has no solution

x + 4 = x + 5

x - x = 5 - 4

0 = 1 (which is false)

2. a single variable linear equation that has one solution

2x + 4 = x + 5

2x  - x = 5 - 4

x = 1

3. a single variable linear equation that has infinitely many solutions

x + 4 - 1= x + 3 

x - x = 3 - 4 + 1

0 = 0 (identity)

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.