3.5 Finding slope from a graph

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm'. It is calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

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 use the formula: 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 the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no vertical change (rise) regardless of the horizontal change (run).

Front

What is the slope of a vertical line?

Back

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

Front

If a line has a slope of -2, what does this mean?

Back

A slope of -2 means that for every 1 unit increase in x, the y-value decreases by 2 units.

Front

What is the slope of the line represented by the points (1, 2) and (3, 6)?

Back

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

Front

How do you simplify a slope of -6/3?

Back

To simplify -6/3, divide both the numerator and denominator by 3, resulting in -2.

Front

What type of slope does the line y = -3x + 1 have?

Back

The line y = -3x + 1 has a negative slope of -3.