Linear Equations and Their Applications

Front

What is a linear equation?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the y-value with respect to the x-value. It indicates how steep the line is.

Front

What is the standard form of a linear equation?

Back

Front

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

Back

Front

What does the y-intercept represent in a real-world context?

Back

The y-intercept represents the starting value or initial condition of a situation when the independent variable (x) is zero.

Front

What is the x-intercept of a linear equation?

Back

Front

What happens to the x-intercept when the slope and y-intercept are both tripled?

Back

The x-intercept does not change when both the slope and y-intercept are tripled.

Front

What is the significance of the coefficients in a linear equation?

Back

The coefficients indicate the rate of change (slope) and the relationship between the variables in the equation.

Front

How do you convert a linear equation from slope-intercept form to standard form?

Back

Front

Back

The initial fee is $25, which is the y-intercept of the equation.