Unit 6 - 3 FC Slope from a Graph

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness or incline of a line, calculated 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 of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it goes straight up and down, and there is no horizontal change.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal, meaning it does not rise or fall as it moves along the x-axis.

Front

What is the slope of a line that rises 4 units for every 1 unit it runs?

Back

The slope of the line is 4, calculated as rise/run = 4/1.

Front

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

Back

A slope of 1/2 means that for every 2 units the line runs horizontally, it rises 1 unit vertically.

Front

How can you identify the slope of a line from its graph?

Back

You can identify the slope by selecting two points on the line, determining the rise and run between them, and then calculating the slope using the formula m = rise/run.

Front

What is the slope of a line that runs 7 units horizontally and rises 3 units vertically?

Back

The slope of the line is 3/7, calculated as rise/run = 3/7.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, cost per unit, or any other relationship where one quantity changes in relation to another.

Front

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

Back

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