Finding Slope from Two Points

Front

What is the formula to find 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 does a slope of zero indicate about a line?

Back

A slope of zero indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, meaning there is no change in x as y changes.

Front

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

Back

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

Front

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

Back

The slope is undefined because the x-coordinates are the same (1).

Front

Find the slope of the line that passes through the points (3, 4) and (6, 1).

Back

The slope is m = (1 - 4) / (6 - 3) = -3 / 3 = -1.

Front

If a line has a slope of 3, what is the angle of inclination of the line?

Back

The angle of inclination can be found using the tangent function: angle = arctan(3).

Front

What is the slope of a line parallel to the line with the equation y = 2x + 1?

Back

The slope of a line parallel to y = 2x + 1 is also 2.