Slope and slope formula

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

How do you find the slope of a line given two points?

Back

To find the slope, subtract the y-coordinates of the two points and divide by the difference of the x-coordinates.

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 an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the x-coordinates are the same, resulting in division by zero.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating that the y-value remains constant as the x-value changes.

Front

In the equation y = mx + b, what does 'm' represent?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

What is the significance of the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

How can you determine if a slope is positive, negative, or undefined from a graph?

Back

A positive slope rises from left to right, a negative slope falls from left to right, and an undefined slope is represented by a vertical line.

Front

What is the slope of the line that passes through the points (1, 2) and (4, 5)?

Back

The slope is (5 - 2) / (4 - 1) = 3 / 3 = 1.