Unit 3 Geometric Theorems Math1

Slopes of parallel lines are...

• opposite reciprocals.
• opposites.
• the same.
• always 7.

Slopes of perpendicular lines are...

• opposite reciprocals.
• opposites.
• identical.
• always 7.

Are these lines parallel?

y = (-1/2)x + 1

y = (1/2)x - 5

• YES

• NO

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

• YES
• NO

Are these lines perpendicular?
y = 4x + 2
y = (-1/4)x + 12

• YES
• NO

What slope is perpendicular to:  
m = 5/8

• -5/8
• 5/8
• -8/5
• 8/5

Write an equation for a line perpendicular to
y = -5x + 3 through (-5, -4)

• y = -3x + 1/5
• y = -3x - 1/5
• y = 1/5x - 3
• y = -1/5x - 3

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

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

• y=1/6x +25/6

• y = 1/6x + 4

• y = -6x - 2

• y = -6x + 4

Which of the following lines is NOT parallel to the graph of line 6x - 8y = 5?

• 9x - 12y = 11

• 3x = 7 + 4y

• -6x + 8y = 3

• 16y = 13 + 6x