Comparing Functions

Front

What is a slope in a linear function?

Back

The slope is a measure of the steepness of a line, represented as the ratio of the rise (change in y) to the run (change in x).

Front

How do you determine the y-intercept of a linear equation?

Back

The y-intercept is the value of y when x is 0, found by substituting x=0 into the equation.

Front

What does it mean if two lines have the same slope?

Back

It means the lines are parallel and will never intersect.

Front

What is the general form of a linear equation?

Back

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

Front

How can you compare the slopes of two linear equations?

Back

By examining the coefficients of x in the equations; the larger coefficient indicates a steeper slope.

Front

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

Back

The y-intercept indicates where the line crosses the y-axis, providing a starting point for the graph.

Front

If two lines have the same y-intercept, what can you infer about their slopes?

Back

They can have different slopes; having the same y-intercept does not imply they are parallel.

Front

How do you find the slope from two points on a line?

Back

Use the formula: slope (m) = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a linear function?

Back

A positive slope indicates that as x increases, y also increases, showing an upward trend.

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as x increases, y decreases, showing a downward trend.