Finding Slopes Using Graphs and Coordinate Points

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) over the change in x (run).

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal and does not rise or fall.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it goes straight up and down.

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

Find the slope of the line that passes through (2, 3) and (4, 7).

Back

The slope is 2.

Front

Find the slope of the line that passes through (1, 1) and (1, 5).

Back

The slope is undefined.

Front

Find the slope of the line that passes through (3, 4) and (6, 4).

Back

The slope is 0.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3.