Finding Slope from a Table

Front

What is the definition of slope in mathematics?

Back

The slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What is the slope formula?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

How do you find the slope from a table of values?

Back

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

Front

What does a positive slope indicate about a line?

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 line?

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, as there is no vertical change regardless of the horizontal change.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the horizontal change is 0, leading to division by zero in the slope formula.

Front

If the slope of a line is 3/2, what does this mean in terms of rise over run?

Back

A slope of 3/2 means that for every 2 units you move horizontally (run), the line rises 3 units (rise).

Front

How can you determine if a slope is steep or gentle?

Back

A larger absolute value of the slope indicates a steeper line, while a smaller absolute value indicates a gentler slope.

Front

What is the relationship between slope and linear equations?

Back

In a linear equation of the form y = mx + b, 'm' represents the slope of the line, and 'b' represents the y-intercept.