Exploring Linear Equations and Lines

What is the slope of the line represented by the equation y = 3x + 2?

• 3

• -1

• 4

• 2

y = 2x + 1 and y = 2x - 4

are parallel;

True or False?

• False

• True

• y = 3x + 1 and y = 2x - 4

• y = 2x + 1 and y = 3x + 2

What is the slope of the line represented by the equation

2y - 4x = 8

?

• -2

• 2

• 4

• 1/2

What's the slope of a line that is perpendicular to

y = -1/2x + 3

?

• m = - 3

• m = 3

• m = -2/1

• m = +2

Determine whether or not the two lines are parallel, perpendicular or neither.

Groups:

(a) PARALLEL

,

(b) PERPENDICULAR

,

(c) NEITHER

• y = 3x+1

  y = 1/3x + 1

• 8x - 4y = 16

  5y - 10x = 3

• -2x - 5y = -3

  -5x + 2y = 6

• 4y = 3x + 12

  -3x + 4y = 2

• 2y - x = 2

  y = -2x + 4

• -2x - 4y = -8

  -2x + 4y = -8

If two lines have slopes of 4 and -1/4,

are they perpendicular?

Yes or No?

• No, the slopes are equal.

• Yes, they are parallel.

• No, they intersect at a right angle.

• Yes

What is the equation of a line that passes through the points (1, 2) and (3, 6)?

• y = 4x

• y = 2x

• y = x + 1

• y = 3x - 1

Identify the slope of the line that passes through the points (2, 3) and (4, 7).

• 2

• -2

• 3

• 1

Graph the equation y = 2x - 1. What is the slope?

• 2

• -1

• 3

• 1

If the equation of a line is y = 5, what type of line is it?

• It is a vertical line.

• It is a diagonal line.

• It is a horizontal line.

• It is a curved line.