Slope and Y-Intercept

Front

What is the simple definition of slope?

Back

Slope is defined as the ratio of the rise (vertical change) to the run (horizontal change) between two points on a line, often expressed as rise/run.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as the value of y when x = 0.

Front

What letter represents the slope of a line in the equation y = mx + b?

Back

The letter 'm' represents the slope of the line in the equation y = mx + b.

Front

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

Back

Slope (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 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

If a line has a slope of 1/2, what does this mean in terms of rise and run?

Back

For every 1 unit of rise, there are 2 units of run.

Front

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

Back

The y-intercept is 4.