Graphing Functions Flashcard

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

Back

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

Front

What does the y-intercept represent in a linear equation?

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

Which ordered pair lies on the graph of the function y = -2x + 1?

Back

(3, -5) is the correct ordered pair.

Front

What is the equation of a line that passes through points K(3, 5) and L(9, 3)?

Back

The equation is y = -1/3 x + 6.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, defined by the equation y = mx + b.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, y also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as x increases, y decreases.

Front

How can you determine if a point lies on the graph of a function?

Back

Substitute the x-value of the point into the function and see if the resulting y-value matches the y-value of the point.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction of the relationship between x and y.