Algebra Class: Proportional Relationships and Slope

Connect Proportional Relationships and Slope

• The slope of a line measures its steepness.
• Slope is the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line.
• Slope = rise / run
• Slope is constant in linear relationships.
• Positive slope: line points upward from left to right
• Negative slope: line points downward from left to right

Finding Slope from a Graph

• Locate two points on the line.
• Find the vertical change (rise) between the two points.
• Find the horizontal change (run) between the two points.
• Calculate the slope: rise/run
• A rise up is positive, a rise down is negative, a run to the right is positive, and a run to the left is negative.

Practice & Problem Solving

• Graphically represent the proportional relationship between two variables
• find the slope of a line from data points
• Calculate the slope of a line given a set of ordered pairs

Reasoning and Application

• Explain how to calculate the slope of a line given two points.
• Apply slope to solve problems involving proportional relationships and real-life situations.
• Critique errors in calculations of slope and speed
• Identify the correct method for finding slopes

Real-Life Application

• Use the slope of a line to determine the rate of change.
• Apply slope in real-world situations.
• Calculate the value of the dependent variable (y) given a dependent variable (x) and known rate of change

This quiz covers the concepts of proportional relationships and how to calculate the slope of a line. You'll learn to find the slope from graphs and ordered pairs, as well as understanding positive and negative slopes. Engage in practice problems to reinforce these mathematical principles.