Perpendicular Parallel System of Equations

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

The slopes of parallel lines are...

• the same

• opposite

• always different

Are these two lines parallel, perpendicular or neither?

y = -1/4 x - 5

y = 4x + 2

• Parallel

• Perpendicular

• Neither

Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2

• Parallel

• Perpendicular

• Neither

How many solutions does the system have?

• One (6,-4 )

• no solutions

  they are parallel

• Infinite solutions

  they are the exact same line

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

Mathematical Equivalence

OFF

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

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 parallel to this equation:

y = -7/6x - 8

Mathematical Equivalence

ON

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

• No Solution

• Infinite Solutions

• One Solution: (0, 4)

• One Solution: (0, 6)