Graphing Systems of Linear Equations

What is the solution to the system?

• (3, -1)

• (2, -6)

• No Solution 

• (6, -2)

Tags

CCSS.8.EE.C.8B

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

• Parallel lines

• the same line

• Intersecting lines

Tags

CCSS.8.EE.C.8A

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting lines

• Same line

• Parallel lines

Tags

CCSS.8.EE.C.8A

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. 

The equation

y=40x−80

represents the amount of water, y, going into a pool after x minutes. Where does the graph of the line intersect the y axis?

Tags

CCSS.HSF-IF.C.7A

Using a Coordinate grade graph the following system and state the solution. \frac{2}{3\ }x-6=-2

Tags

CCSS.8.EE.C.8B

Which of the following lines is PARALLEL to the graph of 5x + 2y = 8?

• 2x + 5y = 8

• 5x - 2y = 6

• 10x + 4y = - 7

• -10x + 4y = 9

What is the slope of a line parallel to the line whose equation is: -2x + y = - 7?

• -2

• 1/2

• -1/2

• 2

Tags

CCSS.8.EE.B.5

Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12

• y = (-1/3)x - 1

• y = (1/3)x - 2

• y = -3x + 12

• y = 3x - 1

What is the solution to this system? Solve by substitution.
y= 4x + 3
2x - 3y = 21

• (3,-9)

• (-3,-9)

• (-3,9)

• (0,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6