Finding Slope

Front

What is the formula to find the slope of a line?

Back

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

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 vertical line?

Back

The slope of a vertical line is undefined because the change in x (denominator) is zero.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0 because there is no change in y (numerator) as x changes.

Front

Find the slope of the line that passes through (2, 4) and (6, 12).

Back

The slope is 2.

Front

Find the slope of the line that passes through (6, 7) and (4, 2).

Back

The slope is 5/2.

Front

Find the slope when given the points (1, 6) and (3, -4).

Back

The slope is -5.

Front

Find the slope of the line that passes through (3, 2) and (5, 8).

Back

The slope is 3.

Front

What is the slope of the line that passes through (0, 0) and (4, 4)?

Back

The slope is 1.