Slope

Slope is a measure of the steepness of a line on a graph. It tells us how much a line slants upwards or downwards. The slope of a line is represented by the letter "m".

Calculating Slope

The slope of a line can be calculated using the following formula:

m = (y₂ - y₁) / (x₂ - x₁)

Where (x₁, y₁) and (x₂, y₂) are two points on the line.

Interpreting Slope

A positive slope indicates that the line slants upwards from left to right, while a negative slope indicates that the line slants downwards from left to right. A slope of 0 indicates a horizontal line, and a slope that is undefined indicates a vertical line.

Study Guide

Understand the formula for calculating slope:
m = (y₂ - y₁) / (x₂ - x₁)
Practice finding the slope of a line using given points.
Learn to interpret the slope as positive, negative, zero, or undefined.
Study how to use slope to determine if lines are parallel, perpendicular, or neither.
Practice graphing lines and identifying their slopes.

Understanding slope is essential for understanding linear equations and graphing lines. It is an important concept in algebra and geometry, and is used in various real-world applications.

◂Math Worksheets and Study Guides Seventh Grade. Plane Figures: Lines and Angles

Study Guide

Plane Figures: Lines and Angles

Plane Figures: Lines and Angles

Worksheet/Answer key

Plane Figures: Lines and Angles

Worksheet/Answer key

Plane Figures: Lines and Angles

The resources above cover the following skills:

Geometry (NCTM)

Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.

Precisely describe, classify, and understand relationships among types of two- and three-dimensional objects using their defining properties.

Create and critique inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship.

Measurement (NCTM)

Understand measurable attributes of objects and the units, systems, and processes of measurement.

Understand, select, and use units of appropriate size and type to measure angles, perimeter, area, surface area, and volume.

Apply appropriate techniques, tools, and formulas to determine measurements.

Select and apply techniques and tools to accurately find length, area, volume, and angle measures to appropriate levels of precision.

Connections to the Grade 7 Focal Points (NCTM)

Data Analysis: Students use proportions to make estimates relating to a population on the basis of a sample. They apply percentages to make and interpret histograms and circle graphs.