Slope & Y-intercepts

Front

What is the definition of slope?

Back

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

Front

What is the formula to calculate slope?

Back

The formula to calculate slope (m) is: m = \frac{y_2 - y_1}{x_2 - x_1}.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, showing a downward trend.

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, b) where b is the y-coordinate.

Front

How do you find the y-intercept from an equation?

Back

To find the y-intercept from an equation in the form y = mx + b, set x = 0 and solve for y.

Front

What is the y-intercept of the line y = 2x - 3?

Back

The y-intercept is (0, -3).

Front

What is the slope of the line represented by the equation y = -rac{1}{2}x + 4?

Back

The slope is -\frac{1}{2}.

Front

How can you determine which of two lines has a greater slope?

Back

Compare the slope values (m) of the two lines; the line with the larger absolute value of m has a greater slope.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.