Systems With Two Equations in Slope Intercept Form

What is the solution to the equations below ? y = 3x + 2 y = 3x - 5

• a. NO Solution because the slopes are the same.

• b. ONE Solution because the slopes are the same.

• c. MANY Solutions because the slopes are the same.

• d. No Solution because the y-intercepts are the same.

What is the solution to the systems of equations?

• One Solution

• Two Solutions

• No Solutions

• Many Solutions

Given the equations, below what type of lines are formed? Why?

• a. Straight Lines

  because it is in the form:

  y = mx + b

• b. Intersecting Lines

  Different slope and different

  y-intercept

• c. Same Line

  same slope and same y-intercept when the 2nd equation is divided by 2.

• d. Parallel lines

  Same slope and Different y-intercept

Given the equations, below with the same slope and different y-intercept what type of lines are formed?

• a. Straight Lines

• b. Intersecting Lines

• c. Same Line

• d. Parallel lines

What is the solution to this system of equations? Choose the correct answer from the drop-down menu to complete the statement. The solution to the system of equations ​ (a)   .

• is located at (6.5, -0.5)

• does not exist

• is infinitely many

• is located at (-0.5, 6.5)

What is the solutions to the following system of equations?

• (5,2)

• (2, 5)

• (0,3)

• Infinitely Many Solutions

• No Solutions

How many solutions do intersecting lines have?

• a. Many Solutions

• b. Two Solutions

• c. No Solutions

• d. One Solution

two or more linear equations with the same variables

• piecewise defined function

• linear inequality

• solution to a linear inequality

• boundary line

• system of linear equations

What is the solution to this system?

• (-2, -2)

• (2, -2)

• (-2,2)

• (2, 2)

Solve using substitution:

y = -6x + 5

-2x + y = 5

• (-3, -6)

• (-6, 3)

• (0, 5)

• (-3, 5)