Finding Slope

Front

What is the definition of slope in a linear equation?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y (rise) divided by the change in x (run).

Front

How do you find the slope from the equation y = mx + b?

Back

In the equation y = mx + b, the slope is the coefficient 'm' of x.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) between two points 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 x increases, y 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 x increases, y decreases, meaning the line falls from left to right.

Front

How can you determine the slope from the standard form of a linear equation, Ax + By = C?

Back

To find the slope from the standard form Ax + By = C, rearrange the equation into slope-intercept form (y = mx + b) and identify the coefficient of x.

Front

What is the slope of the line represented by the equation 2x - 3y = 18?

Back

The slope of the line is 2/3.

Front

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

Back

The slope of the line is 3/2.