2 Graphing Linear Functions and Intercepts

Front

What is a linear function?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the function. It indicates how much the y-value changes for a unit change in the x-value.

Front

What is the y-intercept of a linear function?

Back

Front

How do you find the x-intercept of a linear equation?

Back

Front

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

Back

Front

What does it mean to translate a graph vertically?

Back

Translating a graph vertically means shifting the graph up or down without changing its shape. This is done by adding or subtracting a constant from the y-value.

Front

What is the effect of a positive slope on a graph?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant of the line.

Front

What is the effect of a negative slope on a graph?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant of the line.

Front

How do you determine if a line is steep or gentle?

Back

The steepness of a line is determined by the absolute value of the slope. A larger absolute value indicates a steeper line, while a smaller absolute value indicates a gentler slope.

Front

What is the transformation of a graph when the slope increases?

Back

When the slope increases, the line becomes steeper, indicating a greater rate of change in y for each unit change in x.