Livingood Slope from Tables/Graphs/Equations

Front

What is the slope?

Back

The slope is a measure of the steepness or incline of a line, calculated as the change in y divided by the change in x (rise/run).

Front

Find the slope of the line with points (1, 2) and (3, 4).

Back

The slope is 1, calculated as (4-2)/(3-1) = 2/2 = 1.

Front

Find the slope from the table: x: 1, 2, 3; y: 2, 4, 6.

Back

The slope is 2, calculated as (6-2)/(3-1) = 4/2 = 2.

Front

Which of these represents slope-intercept form? y = mx + b, Ax + By = C, y - y1 = m(x - x1)

Back

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

Front

What is the slope in the equation y=2x + 3?

Back

The slope is 2, as it is the coefficient of x in the slope-intercept form.

Front

What does a positive slope indicate?

Back

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

Front

What does a negative slope indicate?

Back

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

Front

How do you calculate the slope from a graph?

Back

To calculate the slope from a graph, choose two points on the line, find the rise (change in y) and run (change in x), and divide rise by run.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no change in y regardless of the change in x.

Front

What is the slope of a vertical line?

Back

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