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-values increase, the y-values also increase, 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-values increase, the y-values decrease, 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 the change in y (numerator) is zero.

Front

Find the slope of the line passing through the points (2, 3) and (5, 7).

Back

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

Front

Find the slope of the line passing through the points (1, -1) and (4, 2).

Back

The slope is (2 - (-1)) / (4 - 1) = 3 / 3 = 1.

Front

If a line has a slope of -2, what does this tell you about the line's direction?

Back

The line falls steeply from left to right, indicating a decrease in y-values as x-values increase.

Front

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

Back

The slope is 3, which means for every 1 unit increase in x, y increases by 3 units.

Front

How do you interpret a slope of 1/2?

Back

A slope of 1/2 means that for every 2 units you move to the right on the x-axis, you move up 1 unit on the y-axis.