Find the slope from two points

Front

What is the formula to calculate the slope between two points?

Back

The slope (m) between two points (x1, y1) and (x2, y2) 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-coordinate increases, the y-coordinate 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-coordinate increases, the y-coordinate 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 the change in y (numerator) is zero.

Front

How do you determine the slope from two points on a graph?

Back

To determine the slope from two points, subtract the y-coordinates and divide by the difference of the x-coordinates: m = (y2 - y1) / (x2 - x1).

Front

If the slope of a line is 1, what does this imply about the angle of the line?

Back

A slope of 1 implies that the line makes a 45-degree angle with the x-axis.

Front

What is the significance of the slope in real-world applications?

Back

The slope represents the rate of change, which can be used in various real-world contexts such as speed, cost, and growth rates.

Front

How can you identify the slope from a linear equation in slope-intercept form?

Back

In slope-intercept form (y = mx + b), the slope (m) is the coefficient of x.

Front

What is the slope of the line that passes through the points (2, 3) and (5, 7)?

Back

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