Graphing Systems of Linear Equations

What is the solution to the following system of equations?

• (0,3)

• (-3, 1)

• (1, 3)

• Infinitely Many Solutions

• No Solution

The Elimination Method requires equations be written in ____ form.

• Point Slope Form: y - y₁ = m(x - x₁)

• X = form

• Standard Form: ax + by = c

• Slope Intercept Form: y = mx + b

Solve the following system by graphing.  What is the solution?

• (3, -2)

• (3, -3)

• (-3, 2)

• (-3, -2)

Solve the following system by graphing.  What is the solution?

• Infinity

• (3, 3)

• (3, -3)

• (-3, 3)

Solve the following system by graphing.  What is the solution?

• Infinite number of solutions

• (3, 3)

• (3, -3)

• (-3, 3)

What is the solution to this system?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

The solution to the system is

• (-2, -8)

• (-8, -2)

• (2, -8)

• No solution

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)

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

• Parallel lines - same slope, different y-intercept

• The same line - same slope, same y-intercept

• Intersecting lines - different slope (y-intercept can be the same)

• Infinite Solutions same slope, same y-intercept

• No solution parallel lines: same slope, different y-intercept

• One solution

  intersecting lines: different slopes

• Hint: did you solve the bottom equation for y to put into slope-intercept form?