Slope Questions Flashcard

Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

m = (y2 - y1) / (x2 - x1)

Front

What does it mean if the slope of a line is zero?

Back

The line is horizontal, indicating no change in y as x changes.

Front

What does it mean if the slope of a line is undefined?

Back

The line is vertical, indicating no change in x as y changes.

Front

Given the points (4, -5) and (-6, 7), what is the slope?

Back

m = -1.2

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The set of all possible output values (y-values) for the function.

Front

If a function has a slope of 2, what does this indicate about the relationship between x and y?

Back

For every 1 unit increase in x, y increases by 2 units.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the slope from a graph?

Back

Identify two points on the line, calculate the rise over run.

Front

What is the slope of the line represented by the equation y = 2x + 100?

Back

The slope (m) is 2.