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!

Fill in the Blanks

Solve the following by hand graphing.

y = -x + 3

y = 2x- 6

(#2 on your practice worksheet) What is the solution?

Fill in the Blanks

Solve the following by hand graphing.

2x - 3y = 9
y =  $\frac{4}{3}x$  - 5

Find the solution (#4 from your practice worksheet)

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.