Linear Equations In Context

Front

What does the slope represent in a linear equation?

Back

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

Front

What is the y-intercept in a linear equation?

Back

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

Front

How do you interpret the slope in a real-world context?

Back

The slope indicates how much the dependent variable increases or decreases for each unit increase in the independent variable.

Front

What does a positive slope indicate?

Back

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

Front

What does a negative slope indicate?

Back

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

Front

What is the formula for a linear equation?

Back

The formula for a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you find the slope from two points on a line?

Back

The slope can be found using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the term 'rate of change' mean in a linear context?

Back

Rate of change refers to how much one quantity changes in relation to another quantity.

Front

What is the significance of the y-intercept in a real-world scenario?

Back

The y-intercept often represents the starting value of a situation before any changes occur.

Front

How can you determine the height of an object at a specific time using a linear equation?

Back

Substitute the specific time value into the equation to find the corresponding height.