Slope Flashcard Review 2024 (SI only) Hargis

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 vertical change (rise) to the horizontal change (run) between two points on the line.

Front

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

Back

The slope (m) 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 the x-values increase, the y-values also increase, resulting in an upward trend.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, resulting in a downward trend.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as the x-values change.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x (run) is 0, leading to division by zero.

Front

Given the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line in the slope-intercept form of a linear equation.

Front

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

Back

A slope of 2 means that for every 1 unit increase in the x-direction (run), the y-value increases by 2 units (rise).

Front

Find the slope of the line that passes through the points (1, -19) and (-2, -7).

Back

The slope is -4.

Front

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

Back

The slope is 2.