SLOPE (P.3)

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line. It is calculated as the change in y (rise) over the change in x (run).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented as (0, b) in the equation y = mx + b, where b is the y-intercept.

Front

How do you find the slope from an equation in slope-intercept form?

Back

In the slope-intercept form of a line, y = mx + b, the slope 'm' is the coefficient of x.

Front

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

Back

The slope is 3/2.

Front

What is the y-intercept of the line given by the equation y = 3/2x + 3?

Back

The y-intercept is (0, 3).

Front

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

Back

The slope 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

What is the slope of the line represented by the equation y = -3/2x + 4?

Back

The slope is -3/2.

Front

What is the slope of the line represented by the equation y = -4/3x + 1?

Back

The slope is -4/3.