Solving systems by graphing

How can you tell if a point is a solution to a system?

• It makes the first equation true.

• The (x,y) coordinates satisfy both equations

• It makes logical sense

• It makes neither equation negative

What is the first step in solving a system by graphing?

• Write both linear equations in slope-intercept form

• Get x by itself

• Compare the slopes of both equations

• Write both equations in standard form

Tags

CCSS.8.EE.C.8B

The solution to a system of equations is any ordered pair that makes both equations true.

• TRUE

• FALSE

Tags

CCSS.8.EE.C.8B

When you graph the exact same equation twice,

• you will have no solution. 
• you will have one solution.
• you will have infinite solutions. 
• you will graph a giraffe. 

Tags

CCSS.8.EE.C.8B

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

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Tags

CCSS.8.EE.C.8A

What is the solution?

• One Solution
• No solution
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8B

This system has _____ solutions

• 0
• 1
• 2
• Infinitely many

Tags

CCSS.8.EE.C.8B

Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)
• (-8,-3)
• (3,-8)
• (8,3)

Tags

CCSS.8.EE.C.8B

Parallel Lines never intersect because...

• they have the same slopes. 
• they have the same y-intercept.
• they have different slopes.
• they have different y-intercepts. 

Tags

CCSS.HSA.REI.D.12

The solution is:

• (4, 3)
• (3, 4)
• (-4, 3)
• No solution

Tags

CCSS.8.EE.C.8B