Systems of Equations Graph Interpretation

What is the solution to a system of equations?

• The y-intercept

• The slope

• The x-intercept

• The point of intersection

What is the solution to the given system of equations?

• (1,-1)

• (-1,1)

• (0,-2)

• (0,1)

If a system of equations has no solution, what does the graph look like? 

• Intersecting lines

• Skew lines

• Parallel lines

• Same line

If a system of equations has infinte solution, what does the graph look like? 

• Intersecting lines

• Skew lines

• Parallel lines

• Same line

If a system of equations has one solution, what does the graph look like? 

• Intersecting lines

• Skew lines

• Parallel lines

• Same line

Parallel Lines never intersect because...

• they have the same slopes

• they have different slopes

• they have the same y-intercept

• the have the same x-intercepts

What is the solution to the given system?

CAREFUL!!!!

• (3,-1)

• (2,-6)

• No Solution

• (6,-2)

Graph the following system on DESMOS and determine if (4, 1) is a solution for the system of equations.

y = -x + 5

y= 2x - 7

• Yes

• No

Graph the following system on DESMOS and identify the solution

y = 5x + 3

y = -2x - 4

• No solution

• (-2,0)

• (-1-2)

• (0,3)

Graph the following system on DESMOS and identify the solution

• No solution

• (0,0)

• (0,5)

• (-4,4)