Solving Systems of Equations by graphing

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.HSA.REI.C.6

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

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

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

• TRUE

• FALSE

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the
slope-intercept form
of the equation
-8x+2y=4

• none

• y=2-4x

• y=4x+2

• y=4x-8y

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

If m=3 and b=6, what is the correct slope intercept equation?

• none

• y=3x-6

• y=3x+6

• y=6x+3

Tags

CCSS.HSA.CED.A.2

CCSS.HSS.ID.C.7

Write the equation in slope-intercept form:
-3y + 5x = 12

• y = -4 + 5x

• y = -4 + 5/3x

• y = 4 - 5/3x

• y = 12 + 5x

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What are the steps for graphing a line?

• 1. Plot y-intercept
  2. count slope ratio plot second point
  3. Draw the line.

• 1. Make a table
  2. Plot slope
  3. Draw line

• 1. Plot two points
  2. Check slope
  3. Draw line

• 1. Draw line
  2. Hope it is right

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A