Use the worksheet to record your answers to the Graphing Linear Equations portfolio activity. When you are finished, save your worksheet with your answers and submit it for a portfolio grade. Investigate and explain the different types of graphical solutions. Question 1 Examine the different equations that follow: y=5x−4 y=5x-4 y=−2x+3 y=-2x+3 y=3x+1 y=3x+1 2y=6x+2 2y=6x+2 y−5x=2 y-5x=2 y−4x+1=0 y-4x+1=0 y=5x y=5x Complete steps a. through e. to determine which pair of equations form a system with one solution, no solution, or infinite solutions. Solve each equation and make sure it is in y=mx+by=mx+b format. Graph all equations on a coordinate grid (shown below) and label them. Circle the two equations that form a system with infinite solutions. Put a square around the two equations that form a system with no solution. Underline the two equations that form a system with one solution.
a. y=5x-4
b. y=-2x+3
c. y=3x+1
d. 2y=6x+2
e. y-5x=2
f. y-4x+1=0
g. y=5x
Equations with infinite solutions:
- y=5x-4
- y=5x
Equations with no solution:
- y=3x+1
- y-4x+1=0
Equations with one solution:
- y=-2x+3
- y-5x=2