P. 2 Slope from a Graph

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 calculate the slope from a graph?

Back

To calculate the slope from a graph, select two points on the line, determine the rise (change in y) and run (change in x), and then use the formula: slope (m) = rise/run.

Front

What does a positive slope indicate?

Back

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

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is a zero slope?

Back

A zero slope indicates a horizontal line where there is no change in y as x changes.

Front

What is an undefined slope?

Back

An undefined slope occurs with vertical lines where the change in x is zero, leading to division by zero.

Front

Find the slope between the points (2, 3) and (5, 7).

Back

The slope is (7-3)/(5-2) = 4/3.

Front

Find the slope between the points (1, 2) and (4, -1).

Back

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

Front

What is the slope of the line represented by the equation y = 2x + 1?

Back

The slope is 2.

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope is -3.