finding slope from a graph

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 to the horizontal change between two points on the line.

Front

How do you calculate the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and there is no vertical change as you move along the line.

Front

What does an undefined slope indicate about a line?

Back

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

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, its slope is positive.

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, its slope is negative.

Front

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

Back

Slope = (7 - 3) / (4 - 2) = 4/2 = 2.

Front

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

Back

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

Front

What is the slope of a line that goes through the points (3, 4) and (6, 4)?

Back

The slope is 0 because the y-coordinates are the same, indicating a horizontal line.

Front

What is the slope of a line that goes through the points (0, 0) and (5, 10)?

Back

Slope = (10 - 0) / (5 - 0) = 10/5 = 2.