Finding Slope on a Graph Flashcard

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 change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Front

How do you calculate the slope of a line given 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 on a graph?

Back

A slope of 0 indicates that the line is horizontal and there is no change in the y-value as the x-value changes.

Front

What does an undefined slope indicate about a line on a graph?

Back

An undefined slope indicates that the line is vertical, meaning there is no change in the x-value as the y-value changes.

Front

If a line has a positive slope, what does that tell you about the direction of the line?

Back

A positive slope indicates that the line rises from left to right.

Front

If a line has a negative slope, what does that tell you about the direction of the line?

Back

A negative slope indicates that the line falls from left to right.

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-values are the same, indicating a vertical line.

Front

What is the slope of a line that goes through the points (3, 4) and (5, 0)?

Back

Slope = (0 - 4) / (5 - 3) = -4/2 = -2.

Front

What is the slope of a line that goes through the points (0, 0) and (4, 4)?

Back

Slope = (4 - 0) / (4 - 0) = 4/4 = 1.