Graphing All Forms of Linear Equations

What is the standard form of a linear equation?

• y = mx + b

• Ax + By = C

Identify the x-intercept.

• (4, 0)

• (0, 4)

• ( -8, 0)

• (0, -8)

Find the slope of the line that passes through:
(10, 1) and (5, 2)

• 1/5

• -1/5

• 5

• -5

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

For the following systems, decide if there will be one solution, no solution, or infinitely many solutions.

Use your Desmos graphing calculator to help you visualize.

• One Solution

  (Intersecting Lines)

• No solution

  (Parallel Lines)

• Infinitely many solutions

  (Same line)

If a system of linear equations has one solution, what does this mean about the two lines?

• Parallel lines

• Coincident lines

• Intersecting lines

What is the solution to this system?

• (-2, -2)

• (2, -2)

• (-2,2)

• (2, 2)

The solution to this system is:

• No solution

• (0, 1)

• (0, -2)

• (4, 3)

Type of solution when 2 linear equations form the same line

• Infinitely many solutions

• no solution

• All real solutions

• one ordered pair

Coincident Lines in a system of linear equations have which of the following characteristics?

• Same Slope but Different Y-Intercepts

• Different Slopes but Y-Intercepts doesn't matter

• Same Slope Same Y-Intercept

• No Slopes and X-Intercepts