Comparing Functions

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It is the value of y when x = 0.

Front

How do you find the slope of a line?

Back

The slope of a line is calculated as the change in y divided by the change in x (rise over run). It represents the steepness of the line.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship between the two variables.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship between the two variables.

Front

How can you determine the slope from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) and use the formula: slope = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope of the line is 2.

Front

What is the y-intercept of the line represented by the equation y = 2x + 3?

Back

The y-intercept is 3, which is the value of y when x = 0.

Front

What is the formula for the slope-intercept form of a line?

Back

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

Front

If a line has a slope of -5/4, what does this tell you about the line?

Back

A slope of -5/4 indicates that for every 4 units you move to the right (increase in x), the line moves down 5 units (decrease in y).

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept indicates the starting value of y when x is zero, providing a reference point for the graph.