7XL Finding Slope given two points or a table

Front

What is the slope?

Back

The slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise/run).

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

Find the slope between the points (1, 2) and (4, 5).

Back

Slope = (5 - 2) / (4 - 1) = 3/3 = 1.

Front

Find the slope between the points (2, 3) and (2, 7).

Back

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

Front

If the slope of a line is -2, what does this tell you about the line?

Back

The line falls steeply from left to right.

Front

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

Back

The slope is 3.