Multiple Representations

Front

What does the variable 'b' represent in the linear equation y=mx+b?

Back

The variable 'b' represents the y-intercept of the linear equation.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, y).

Front

What is the slope in a linear equation?

Back

The slope (m) indicates the rate of change of y with respect to x.

Front

How do you identify a negative slope in an equation?

Back

A negative slope means that as x increases, y decreases. For example, in y = -3x - 5, the slope is -3.

Front

What is the constant rate of change in the equation y = 3x - 4?

Back

The constant rate of change is 3.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does a vertical line represent in terms of slope?

Back

A vertical line has an undefined slope, meaning it does not pass the vertical line test.

Front

How can you find the y-intercept from a graph?

Back

The y-intercept can be found by locating the point where the line crosses the y-axis.

Front

What is the formula for a linear equation in slope-intercept form?

Back

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

Front

What does it mean if a line has a positive slope?

Back

A positive slope means that as x increases, y also increases.