Finding Slopes Using Graphs and Coordinate Points

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal, meaning there is no vertical change as you move along the line.

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 vertical line?

Back

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

Front

If a line rises from left to right, what can be said about its slope?

Back

If a line rises from left to right, it has a positive slope.

Front

If a line falls from left to right, what can be said about its slope?

Back

If a line falls from left to right, it has a negative slope.

Front

What is the slope of a line that passes through the points (1, 2) and (3, 6)?

Back

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

Front

What is the slope of a line that passes through the points (2, 3) and (2, 5)?

Back

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

Front

What does a slope of 3/7 represent in terms of rise and run?

Back

A slope of 3/7 means that for every 7 units you move horizontally (run), the line rises 3 units (rise).

Front

How can you identify the slope from a graph?

Back

To identify the slope from a graph, select two points on the line, determine the vertical change (rise) and the horizontal change (run), and calculate the slope using the formula m = rise/run.