Graphing in Slope-Intercept Form Flashcardizz

Front

What is the slope of a line?

Back

The slope of a line measures its steepness and direction, calculated as the change in y over the change in x (rise/run).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward trend on a graph.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward trend on a graph.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal, indicating that y does not change as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs in vertical lines where x remains constant, leading to a division by zero in the slope formula.

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

How do you identify the slope from the equation y = 3/2x + 3?

Back

The slope is 3/2, which is the coefficient of x in the equation.

Front

How do you identify the y-intercept from the equation y = 3/2x + 3?

Back

The y-intercept is 3, which is the constant term in the equation.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by b in the equation.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

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