# Slope of a Line Worksheets

What is the slope of a line? Learning about straight lines, one of the most important properties about them the way it angles away itself from the horizontal. This concept is perfectly reflected in something called 'the slope' of a line. In simpler terms, the slope measures the steepness of a line. It can be defined as the ratio of vertical change between two points. It can be denoted by the letter 'm' and it is a change in y when there is a unit change in x along the line. The slope is also known as the gradient of the line and it tells the steep in the line. Notice that for every increase of a single unit towards the right side, which is the horizontal x-axis, the line moves down half a unit. Therefore, it has a slope of -0.5. The slope of a point is represented by m, where (x1, y1) is one point and (x2, y2) is the second point. M = y2 – y1 / x2 – x1 Note that it is important to keep the x and y coordinates in their respective positions/order, that is, make sure the denominators and numerators are in place otherwise you will get the wrong slope.

• ### Basic Lesson

Demonstrates how to determine the slope of a line that pass through two points. Determine the slope of the line that passes through the points. (3,5), (1,2)

• ### Intermediate Lesson

Explores how to use decimals while determining the slope of a line.

• ### Independent Practice 1

Determine the slope of the line that passes through the given points. The answers can be found below.

• ### Independent Practice 2

Features another 20 Slope of a Line problems.

• ### Homework Worksheet

Slope of a Line problems for students to work on at home. Example problems are provided and explained.

• ### Topic Quiz

10 Slope of a Line problems. A math scoring matrix is included.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### Difficult Problems

"It is hard to convince a high-school student that he will encounter a lot of problems more difficult than those of algebra and geometry."
-- Edward W. Howe