Linear Equations in Context

Front

What does it mean when x = 5 in a linear equation context?

Back

It indicates a specific value of the variable x, which can represent a quantity such as time, cost, or any other measurable factor.

Front

What is the initial value in the equation V=50-1.2t?

Back

The initial value is 50, which represents the starting amount of gallons before evaporation begins.

Front

What does the slope of a linear equation represent?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

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

Back

The y-intercept represents the value of the dependent variable when the independent variable is zero.

Front

If a candle burns 2 cm every minute, what is the slope of the graph representing its height over time?

Back

The slope is -2, indicating that the height decreases by 2 cm for every minute that passes.

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line.

Front

In the equation y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept of the line.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope is calculated as (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a linear relationship?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases.

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.