System of Equations Parallel and Perpendicular Lines

What is the Solution to this system?

• (2,-2)

• (-2,2)

• All Real Numbers

• No Solution

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

y = 2/3x - 2
y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

The slopes of parallel lines are...

• the same

• opposite

• always different

Gregory graphed the equations y = -3x + 5 and y = 2x - 5. These lines are ​ ​ (a)   because their slopes are ​ (b)   .

• perpendicular

• intersecting at an angle that is not 90 degrees

• parallel

• different, but not opposite reciprocals

• equal

• opposite reciprocals

Write a slope that is perpendicular to this equation: y = -2/3x - 8

Mathematical Equivalence

OFF

Are these two lines parallel, perpendicular or neither?

y = -1/4 x - 5

y = 4x + 2

• Parallel

• Perpendicular

• Neither

What is the solution to the system of equations graphed below?

• No Solution

• Infinite Solutions

• One Solution: (0, 4)

• One Solution: (0, 6)

How many solutions does the system of equations below have?

• No Solution

• Infinite Solutions

• One Solution

How many solutions does the system of equations below have?

• No Solution

• Infinite Solutions

• One Solution