Finding Slope

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise/run).

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

Front

Find the slope of the line represented by the points (1, 2) and (4, 5).

Back

m = (5 - 2) / (4 - 1) = 3/3 = 1.

Front

What does a positive slope indicate?

Back

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

Front

What does a negative slope indicate?

Back

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

Front

Find the slope of the line represented by the points (2, 3) and (2, 7).

Back

The slope is undefined because the x-values are the same, indicating a vertical line.

Front

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

Back

The slope (m) is 2, which means for every 1 unit increase in x, y increases by 2 units.

Front

Find the slope of the line represented by the points (0, 4) and (3, 10).

Back

m = (10 - 4) / (3 - 0) = 6/3 = 2.

Front

What is the slope of the line represented by the equation y = -3x + 1?

Back

The slope (m) is -3, indicating a downward trend.

Front

How do you interpret a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.