Rate of Change of Linear Functions Warmup

Front

What is the definition of slope in a linear function?

Back

The slope of a linear function is a measure of the steepness or incline of the line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Front

What does a positive slope indicate about a linear function?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, meaning the line rises from left to right.

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as the x-values change.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it would involve division by zero in the slope formula.

Front

Back

This means that for every 1 unit increase in x, the y-value increases by 2 units.

Front

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

Back

Front

How can you find the slope from a graph?

Back

Front

What is the significance of the y-intercept in a linear function?

Back

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