To review these concepts, go to Slope of a Line Study Guide.
Slope of a Line Practice Questions
Practice
 The endpoints of a line segment are (–3,6) and (7,4). What is the slope of this line?
 The endpoints of a line segment are (5,–5) and (–5,–5). What is the slope of this line?
 What is the slope of a line segment with endpoints at (–1,2) and (1,10)?
 What is the midpoint of a line segment with endpoints at (0,–8) and (–8,0)?
 What is the midpoint of a line segment with endpoints at (6,–4) and (15,8)?
 The endpoints of a line segment are (0,–4) and (0,4). What is the midpoint of this line?
 What is the distance from the point (–6,2) to the point (2,17)?
 What is the distance from the point (0,–4) to the point (4,4)?
 What is the distance from the point (3,8) to the point (7,–6)?
Solutions
 The slope of a line is the difference between the y values of two points divided by the difference between the x values of those two points:
.

The slope of a line is the difference between the y values of two points divided by the difference between the x values of those two points:
.

The slope of a line is the difference between the y values of two points divided by the difference between the x values of those two points:
.

The midpoint of a line segment is equal to the average of the x values of the endpoints and the average of the y values of the endpoints:
.

The midpoint of a line segment is equal to the average of the x values of the endpoints and the average of the y values of the endpoints:
.

The midpoint of a line is equal to the average of the x values of the endpoints and the average of the y values of the endpoints:
.

To find the distance between two points, use the distance formula:
D = √(x_{2} – x_{1})^{2} + (y_{2} – y_{1})^{2}
D = √ (2 – (– 6))^{2} + (17 – 2)^{2}
D = √ (8^{2} + (15)^{2}
D = √ 64 + 225
D = √ 289 = 17 units

To find the distance between two points, use the distance formula:
D = √ (x_{2} – x_{1})^{2} + (y_{2} – y_{1})^{2}
D = √ (4 – 0)^{2} + (4 – (– 4))^{2}
D = √ 4^{2} + 8^{2}
D =√ 16 + 64
D = √ 80 = √ 16 × √ 5 = 4 √5 units

To find the distance between two points, use the distance formula:
D = √ (x_{2} – x_{1})^{2} + (y_{2} – y_{1})^{2}
D = √ (7 – 3)^{2} + ((– 6) – 8)^{2}
D = √ 4^{2} + (– 14)^{2}
D = √ 16 + 196
D = √ 212 = √ 4 × √ 53 = 2√ 53 units
Ask a Question
Have questions about this article or topic? AskRelated Questions
See More QuestionsPopular Articles
 Kindergarten Sight Words List
 First Grade Sight Words List
 Child Development Theories
 10 Fun Activities for Children with Autism
 Social Cognitive Theory
 Why is Play Important? Social and Emotional Development, Physical Development, Creative Development
 Signs Your Child Might Have Asperger's Syndrome
 A Teacher's Guide to Differentiating Instruction
 Theories of Learning
 Definitions of Social Studies