Comparing Linear Equations

Front

What is a linear equation?

Back

Front

What does the slope of a linear equation represent?

Back

The slope of a linear equation represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Front

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

Back

Front

What is the significance of the rate of change in linear equations?

Back

The rate of change in linear equations indicates how much the dependent variable changes for a unit change in the independent variable. A higher rate of change means a steeper slope.

Front

How can you compare the slopes of two linear equations?

Back

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, showing a direct relationship.

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, showing an inverse relationship.

Front

How do you find the equation of a line given a slope and a point?

Back

Front

What is the difference between the initial value and the slope in a linear equation?

Back

The initial value (y-intercept) is the starting point of the line on the y-axis, while the slope indicates how steep the line is and the rate of change.

Front

How can you identify the greater y-intercept between two linear equations?

Back

Compare the constant term (y-intercept) in the equations. The equation with the larger constant term has the greater y-intercept.