Systems of Equation 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.8.EE.C.8B

Solve by graphing:
4x+9y=28
-4x-y=-28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

Tags

CCSS.8.EE.C.8B

Solve the system. Record your answer as (x,y).

Tags

CCSS.8.EE.C.8B

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

Identify the solution to the system of equations
MAKE SURE YOUR ANSWER IS A POINT, (X,Y)

Mathematical Equivalence

ON

Tags

CCSS.8.EE.C.8B

Decide if the following statements are true or false about the graph.

Groups:

(a) True

,

(b) False

• The slopes are equal, so the system has infinitely many solutions

• The lines will not intersect, so the system has no solution

• The slope(m) of the lines are equal

• The line are parallel, so the system has no solution

• The lines are perpendicular which means they will not ever cross.

• The lines will eventually touch, so the system has one solution

Tags

CCSS.8.EE.C.8B

What is the solution to the system? (a)  

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Tags

CCSS.8.EE.C.8A

Which statement describes Kayla's solutions?

• Her solutions are correct.

• She marked the y-intercepts instead of the x-intercepts.

• She marked the y-intercepts instead of the intersection point of the two lines.

• She marked only the y-intercepts instead of the x- and y-intercepts.

Tags

CCSS.8.EE.C.8B

What is the solution to the system? (a)  

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Tags

CCSS.8.EE.C.8B

Choose the correct terms for parts of the graph:

d

e

f

solution

y-intercept

slope

horizontal line

vertical line

no solution

Tags

CCSS.HSA.REI.D.12