Slope

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the rise (vertical change) to the run (horizontal change).

Front

How do you calculate the slope of a line using 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 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 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

What is the formula for finding the y-intercept of a line in slope-intercept form?

Back

The y-intercept (b) can be found in the equation y = mx + b, where m is the slope.

Front

If a line has a slope of 4/3, what does this mean in terms of rise and run?

Back

For every 4 units of rise, there are 3 units of run.

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope is 2.

Front

How can you determine the slope from a graph?

Back

By calculating the rise over run between two points on the line.