Parallel and Perpendicular Lines

Slope from Points

100

Calculate the slope between these two points:

(-1, -5) and (1, 3)

m = 4 or 4/1

200

Calculate the slope between the following two points:

(5, -6) and (-5, -2)

m = -2/5

300

Calculate the slope between the following two points:

(2, -5) and (5, -2)

m = 1

400

Calculate the slope between the following two points:

(9, -2) and (6, -2)

m = 0

Slope of 0. 

500

Calculate the slope between the following two points:

(8, 3) and (8, -2)

m = undefined

Slope is undefined. You cannot divide by zero.

Parallel and Perpendicular Slopes

100

Determine the slope of a line that is parallel to 

y = -4/5x + 8

m = -4/5

200

Determine the slope of a line that is perpendicular to y = -3x + 5

m = 1/3

300

Determine the relationship between the following two lines: 

2x + y = 4

-1/2x + y = 3 

Perpendicular

400

Determine the relationship between the following two lines:

y − 3x = −4

y = −3x + 1

Neither parallel or perpendicular

500

Determine the relationship between the following two lines:

5y − 2x = −5

15y − 6x = −30

Parallel

Equation of a Line

100

Write the equation of a line whose slope is 4 and has a y - intercept of -3.

y = 4x - 3

200

What is an equation of the line that passes through the point (-3 , 2) and is parallel to the line 

y = 2x+4

y = -2x + 8

300

What is an equation of the line that passes through the point (0, 6) and perpendicular to the line 

x + y = 3.

y = x + 6

400

What is an equation of the line that passes through the point (−4,−1) and is parallel to the line 

x + 2y = 4?

y = -1/2x -3

500

What is an equation of the line that passes through the point (5,4) and is perpendicular to the line 

5x + 4y = 4?

y = 4/5x 

or 

y = 4/5x + 0

Slope of a Line from Equation

100

Find the slope of the line whose equation is 

x + y = −7. Fully simplify your answer.

m = -1

200

Find the slope of a line parallel to the line whose equation is 6x + y = −3. Fully simplify your answer.

Slope of given line: −6

Slope of a parallel given line: −6

300

Find the slope of the line perpendicular whose equation is x + 4y = 16.

m = 4

400

Find the slope of a line perpendicular to the line whose equation is 5x + y = −4. Fully simplify your answer.

Slope of given line: -5

Slope of perpendicular line: 1/5

500

Find the slope of a line perpendicular to the line whose equation is 6x − 10y = 140. Fully simplify your answer.

Slope of the given line: 3/5

Slope of a perpendicular line: -5/3

Misc / Vocab

100

Two lines that have the same rate of change are said to have this type of slope.

Parallel slopes

200

Two lines who cross at a 90° angle are said to have this type of slope

Perpendicular slopes

300

This is the math term for two fractions (or slopes) whose signs and fractions have been reversed.

Opposite Reciprocals

400

The rate of change between two points on a graph is called this.

Slope

500

Write an equation that represents a line which is parallel to the x-axis?

y = any number