Parallel - Linear Equations

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

• TRUE
• FALSE

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

Parallel lines on a graph will cross once.  TRUE OR FALSE

• TRUE
• FALSE

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

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.

Tags

CCSS.HSA.REI.C.6

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

CCSS.HSG.GPE.B.5

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.HSG.CO.A.1

CCSS.HSG.GPE.B.5

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

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

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

Which set of equations does NOT represent a set of parallel lines? HINT: solve for y where necessary

• y = 2x + 42x - y = 6
  
• y - 3 = 4(x + 3)y = 3x - 2
  
• y - 2 = 6(x + 2)3x + y = 12
  

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

A second linear equation is graphed next to the equation y = 5x + 10. Which of the following could represent the slope and y-intercept of the line if the 2 lines are parallel?

• m = 10, y-int: (0, 5)
• m = 5, y-int: (0, 10)
• m = 5, y-int: (0, 4)
• m = 2, y-int: (0, 5)

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

CCSS.HSS.ID.C.7

REVIEW**  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)

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.GPE.B.5

REVIEW** Given the equation in point slope form, y - 1 = 3(x + 2), which of the following represents the slope and a point on the line.

• m = 3;  (-2, 1)
• m = 1;  (3, 2)
• m = 3;  (2, 1)
• m = 3;  (-2, -1)