A3B. Finding slope of Graphs, Tables, Equations

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the equation of a line. It is calculated as the change in y (rise) over the change in x (run).

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line rises from left to right, what is the sign of its slope?

Back

The slope is positive.

Front

If a line falls from left to right, what is the sign of its slope?

Back

The slope is negative.

Front

What does a slope of 1/2 indicate about a line?

Back

A slope of 1/2 indicates that for every 2 units moved horizontally, the line rises 1 unit vertically.

Front

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

Back

The slope (m) is 3.

Front

What is the slope of the line represented by the equation y = -4x + 1?

Back

The slope (m) is -4.

Front

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

Back

Calculate the change in y divided by the change in x between two points in the table.