Parallel Linear Equations

Parallel Lines have equations with equal slopes and different y-intercepts.  TRUE OR FALSE

• TRUE

• FALSE

Which statement correctly describes the graph?

• The lines are parallel because they have different slopes.

• The lines are NOT parallel because they have different y-intercepts.

• The lines are parallel since they have the same slope and different y-intercepts.

• The lines are perpendicular.

Given the equations below determine if they are parallel or not.  y = 4x - 2 and  y = 5 + 4x

• Yes, They are parallel

• No, They are not parallel

Tags

CCSS.8.EE.C.8B

Are the following equations parallel or not? HINT: Solve the second equation for y so that it is in y=mx + b form. y = 2x - 5 and 4x + 2y = 10

• Yes, they are parallel

• No, they are not parallel

Tags

CCSS.8.EE.C.8B

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

Tags

CCSS.8.EE.B.6

Write a slope that is parallel to this equation:

y = -7/6x - 8

Mathematical Equivalence

ON

Tags

CCSS.8.EE.B.5

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

Tags

CCSS.8.EE.B.5

Mathematical Equivalence

ON

Given the equations in point slope form, do the equations form parallel lines? y - 2 = 4(x + 1) and y - 2 = 4(x + 6)

• Yes, they are parallel

• No, they are not parallel

Which of the following is an equation of a line in point slope form, with a slope of -5 that goes through the point (2, -3)?

• y - 2 = -5(x - 3)

• y + 3 = -5(x - 2)

• y - 3 = -5(x + 2)

• y - 5 = 2(x + 3)