Systems of Equations: Solve with Graphing

Systems of Equations: Solve with Graphing

Multiple Choice

What is the solution to this system?

• (3, -1)

• No solution

• (2, -6)

• (6, -2)

Multiple Choice

What is the solution to this system?

• One solution

• No solution

• Infinite solutions

• Two solutions

Multiple Choice

Parallel lines never cross because

• They have the same slope

• They have different slopes

• They have the same y-intercept

• They have different y-intercepts

Review your notes and add anything you missed

• Parallel lines have the SAME slope, but DIFFERENT y-intercepts

• Coincident lines (lines that lie on top of each other and have infinite solutions) have the SAME slope and the SAME y-intercepts

• Intersecting lines have DIFFERENT slopes and DIFFERENT y-intercepts

Multiple Choice

Based on the equations for each line, determine how many solutions the system would have.

y=2x+3

y=-4x+3

• Infinite number of solutions

• One solution

• No solution

Multiple Choice

Based on the equations for each line, determine how many solutions the system would have.

y=5x+3

y=5x-2

• Infinite solutions

• One solution

• No Solution

Multiple Choice

Based on the equations for each line, determine how many solutions the system would have.

y=-3x+2

y=-3x+2

• Infinite number of solutions

• No solution

• One solution

Multiple Choice

Based on the equations for each line, determine how many solutions the system would have.

y=-3x+2

2y=-6x+4

• Infinite number of solutions

• No solution

• One solution

Solving Systems of Equations: Hand Graphing

Watch the video and practice along!

Prepare to use your calculator to solve systems of equations!

Multiple Choice

Solve the following system by graphing on your calculator. What is the solution?

• (-3, 1)

• (-1, -3)

• (-1, 3)

• (-1, -1)

Multiple Choice

Solve the following by graphing with your calculator. What is the solution?

• (-4, 2)

• (2, -4)

• (4, 2)

• (2, 4)

Difficulties with the calculator? Here is another explanation.