y=mx+b Review

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 y when x is 0, representing the starting point of the line on the y-axis.

Front

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

Back

In the equation, 'm' represents the slope of the line.

Front

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

Back

In the equation, 'b' represents the y-intercept of the line.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where x does not change.

Front

What does a slope of zero indicate?

Back

A slope of zero indicates a horizontal line where y does not change.

Front

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

Back

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

Front

What is the meaning of the slope in a real-world context?

Back

The slope can represent a rate, such as speed or cost per unit.