Linear Relationships Practice

Front

What is a linear relationship?

Back

Front

What does the slope of a line represent in a linear equation?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a one-unit increase in x.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0. It is the point where the line crosses the y-axis.

Front

How do you find the equation of a line given two points?

Back

Front

What is the formula for calculating the cost in a linear relationship?

Back

Front

What does it mean for a relationship to be proportional?

Back

Front

How can you determine if a table of values represents a linear relationship?

Back

To determine if a table of values represents a linear relationship, check if the differences between consecutive y-values divided by the differences between consecutive x-values are constant.

Front

Back

This equation represents a linear relationship where the slope is 0.5, indicating that for every 1 unit increase in x, y increases by 0.5. The y-intercept is 14, meaning when x is 0, y is 14.

Front

What is a graph of a linear equation?

Back

A graph of a linear equation is a straight line that represents all the solutions of the equation. The slope determines the angle of the line, and the y-intercept determines where the line crosses the y-axis.

Front

What does it mean for a graph to be a function?

Back

A graph is a function if every x-value has exactly one corresponding y-value. This means that no vertical line can intersect the graph at more than one point.