P. 3 Slope from a Graph

Front

What is the definition of 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

What is the formula to calculate slope?

Back

Slope (m) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What type of slope is represented by a line that goes upwards from left to right?

Back

Positive slope.

Front

What type of slope is represented by a line that goes downwards from left to right?

Back

Negative slope.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

Find the slope of the line passing through the points (2, 3) and (4, 7).

Back

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

Front

Find the slope of the line passing through the points (1, 2) and (1, 5).

Back

Slope is undefined because the x-coordinates are the same.

Front

If a line has a slope of -1, what does this indicate about its direction?

Back

The line descends from left to right.

Front

What is the slope of a line that is perfectly horizontal?

Back

The slope is 0.