Slope from Two Points & Tables

Front

What is the formula to calculate the slope (m) between 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 positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value 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 the x-value increases, the y-value 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

Calculate the slope of the line that passes through the points (3, 5) and (7, 9).

Back

The slope is 1.

Front

Calculate the slope of the line that passes through the points (4, 2) and (4, 6).

Back

The slope is undefined.

Front

If the slope of a line is 3, what does this mean in terms of rise over run?

Back

For every 1 unit increase in x (run), y increases by 3 units (rise).

Front

Find the slope of the line that passes through the points (1, 2) and (4, 5).

Back

The slope is 1.

Front

What is the slope of the line that passes through the points (0, 0) and (5, 10)?

Back

The slope is 2.