Perpendicular and Parallel Lines Equation

Write an equation of a line that passes through the point (7,10) and is perpendicular to the line y = (1/2)x - 9

• y = -2x - 24

• y = -2x + 12

• y = -2x  + 24

• y = (1/2)x - 12

If two lines are parallel their slopes are  ____________

• the same.

• negative reciprocals of each other.

Tags

CCSS.8.EE.B.6

Are these lines parallel?
y = 12x + 4
y = 12x +14

• YES

• NO

Tags

CCSS.HSG.CO.A.1

Write an equation of a line that passes through the point (5,-1) and is parallel to the line y = (-3/5)x -3

• y = (-3/5)x + 2

• y = (-3/5)x -2

• y = (3/5)x + 2

• y = (5/3) + 2

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

Mathematical Equivalence

OFF

Tags

CCSS.8.EE.B.6

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

Mathematical Equivalence

ON

Write an equation of a line that passes through the point (2,6) and is parallel to the line y = -3

• y = 12

• y = 6

• x = 12

• x = 6

Write an equation of a line that passes through the point (-2,3) and is parallel to the line x = 4

• y = -2

• y = 2

• x = 2

• x = -2