Finding Slope from a Graph or Two Points

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change to the horizontal change between two points on the line.

Front

How do you calculate the slope from two points?

Back

The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does a slope of 0 indicate?

Back

A slope of 0 indicates a horizontal line, meaning there is no vertical change as you move along the line.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, meaning there is no horizontal change as you move along the line.

Front

What is the slope of a vertical line?

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0 because there is no change in y (vertical change) as you move along the line.

Front

If a line rises from left to right, what can you say about its slope?

Back

If a line rises from left to right, its slope is positive.

Front

If a line falls from left to right, what can you say about its slope?

Back

If a line falls from left to right, its slope is negative.

Front

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

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

Front

What is the slope of the line that passes through the points (1, 2) and (1, 5)?

Back

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