A1 Lesson #32: Linear from the Table and Equation; Slope

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

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

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

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

Back

A positive slope means that as the x-value increases, the y-value also increases, indicating an upward trend.

Front

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

Back

A negative slope means that as the x-value increases, the y-value decreases, indicating a downward trend.

Front

What is the y-intercept in the equation of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

How can you determine if a set of points is linear?

Back

A set of points is linear if they all lie on a straight line when graphed.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b.