Slope-intercept form of parallel and perpendicular lines

Slope-intercept form of parallel and perpendicular lines

Open Ended

Describe the attributes of two parallel lines (Algebraically - components of the equation AND graphically).

Multiple Choice

Find the slope of the line.

• 2/1
• 1/2
• -1/2
• -2/1

Multiple Choice

Find the slope of the line that goes through the points (-8,6) and (7,-3).

• 1/3
• -1/3
• -3/5
• -5/3

Multiple Choice

Slopes of Perpendicular lines are __________?

• Opposite

• Reciprocals

• Opposite Reciprocals

• Equal

Multiple Choice

Slopes of Parallel lines are ____________?

• opposites

• reciprocals

• equal

• oppostie reciprocals

Multiple Choice

What slope is perpendicular to:  
m = 5/8

• -5/8
• 5/8
• -8/5
• 8/5

Multiple Choice

The following represents slopes of two lines. Which answer choice describes the two lines?
 $m=-\frac{1}{3}$  and  $m=-\frac{1}{3}$  .

• Parallel

• Perpendicular

• Neither

Multiple Choice

What slope is parallel to:  
m = ³/₄

• ⁴/₃
• ³/₄
• ^-3/₄
• ^-4/₃

Multiple Choice

What slope is parallel to:  
m = 4

• 4
• -1/4
• -4
• 1/4

Multiple Choice

Are the lines Perpendicular? How do you know?

Line 1 runs through the point (0, -1) and (7, 1)

Line 2 runs through the point (-1, 4) and (2, -5)

• Yes, their slopes are opposite reciprocals

• No, their slopes are not opposite reciprocals

• Yes, their slope are the same

• No, their slopes are not the same

What is the equation of a line parallel to the following line that passes through the given point? 

y = 3x + 2   (0, -5)

• The equation of a line in slope-intercept form is y = mx + b.

• We know the slope must be the SAME for the lines to be parallel. m = 3

• y = 3x + __, how can we determine the missing value, b (y-inter)?

• Substitute the x and y-values that were given!

• -5 = 3(0) + b

• -5 = 0 + b, b = -5

• y = 3x - 5, is parallel to y = 3x + 2 and passes through the point (0,-5) Now you Try!

Multiple Choice

What is the equation of a line parallel to the following line that passes through the given point? 
y = -4x + 6      (2, -1)

• y = 1/4x + 6
• y = -4x + 7
• y = -4x + 2
• y = 1/4x -1 

Multiple Choice

Determine the equation of a line perpendicular to y=-3x-2 and going through the point (9, 2), in slope-intercept form.

• $y=\frac{1}{3}x-3$

• $y=-\frac{1}{3}x-9$

• $y=\frac{1}{3}x-1$

• $y=-3x-9$

Multiple Choice

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