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 find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line that rises 3 units for every 2 units it runs?

Back

The slope is 3/2.

Front

What is the slope of a line that falls 2 units for every 1 unit it runs?

Back

The slope is -2.

Front

What does it mean if a line has a slope of 0?

Back

A slope of 0 means the line is horizontal and there is no change in the y-value as the x-value changes.

Front

What does it mean if a line has an undefined slope?

Back

An undefined slope means the line is vertical, and the x-value does not change as the y-value changes.

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 can be connected by a straight line, meaning the slope between any two points is constant.

Front

What is the equation of a line with a slope of 3/2 and a y-intercept of 1?

Back

The equation is y = (3/2)x + 1.