Slope Between Two Points and Tables

Front

What is the slope formula?

Back

The slope formula is m = (y2 - y1) / (x2 - x1), where m is the slope, (x1, y1) and (x2, y2) are two points on a line.

Front

Determine the slope between the points (2, 3) and (5, 7).

Back

The slope is m = (7 - 3) / (5 - 2) = 4/3.

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 given these points: (1, 2) & (3, 4).

Back

The slope is 1.

Front

How do you determine the slope from a table of values?

Back

To determine the slope from a table, select two points (x1, y1) and (x2, y2) and use the formula m = (y2 - y1) / (x2 - x1).

Front

If the slope of a line is 3/2, what does this mean?

Back

This means that for every 2 units the line moves horizontally to the right, it moves 3 units vertically up.

Front

What is the slope of the line represented by the equation y = 2x + 1?

Back

The slope is 2.