Unit 10: Linear Relationships Study Guide

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio or rate. In a graph, this relationship is represented by a straight line that passes through the origin.

Front

What is the slope-intercept form of a linear equation?

Back

Front

How do you find the slope (m) of a line given two points (x1, y1) and (x2, y2)?

Back

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x is 0.

Front

What is the significance of a slope of 0 in a linear relationship?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes; the relationship is constant.

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as one variable increases, the other variable decreases, resulting in a downward sloping line.

Front

What is the meaning of a slope of 2 in a linear relationship?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Front

How can you determine if a relationship is proportional from a table of values?

Back

A relationship is proportional if the ratio of y to x is constant for all pairs of values in the table.

Front

What is the formula to convert a linear equation from standard form to slope-intercept form?

Back

Front

What is the graphical representation of a linear relationship?

Back

A linear relationship is represented by a straight line on a graph, showing a constant rate of change.