Linear Relationships and Equations Corrections

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph. It shows how one variable changes in relation to another.

Front

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

Back

The slope of a line represents the rate of change between the two variables. It indicates how much the dependent variable (y) changes for a unit change in the independent variable (x).

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the y-intercept of a linear equation?

Back

The y-intercept is found by setting x to 0 in the equation and solving for y.

Front

What does the x-axis represent in a graph?

Back

The x-axis represents the independent variable in a graph, which is the variable that is manipulated or changed.

Front

What does the y-axis represent in a graph?

Back

The y-axis represents the dependent variable in a graph, which is the variable that is measured or observed.

Front

If Dixie pays $6 for 4 bags of chips, what is the cost per bag?

Back

The cost per bag is $6 ÷ 4 = $1.50 per bag.

Front

What is the equation that represents the relationship between the number of tacos sold (x) and total sales (y) if each taco costs $1.45?

Back

The equation is y = 1.45x.

Front

If a butterfly can travel 30 miles in 1 hour, how far can it travel in 3 hours?

Back

In 3 hours, the butterfly can travel 30 miles/hour × 3 hours = 90 miles.

Front

What is the relationship between the number of players and slices of pizza if each player gets 3 slices?

Back

The relationship is represented by the equation y = 3x, where y is the total slices of pizza and x is the number of players.