Solving for y

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the slope-intercept form of a linear equation (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

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 is the slope of the line given the points (3,2) and (4,7)?

Back

The slope is 5, calculated as (7 - 2) / (4 - 3).

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning there is no change in x as y changes.

Front

What is the slope of a line that rises 4 units for every 2 units it runs?

Back

The slope is 2, calculated as 4/2.

Front

What is the slope of a line that falls 4 units for every 2 units it runs?

Back

The slope is -2, calculated as -4/2.

Front

If a line has a slope of 1/2, what does this mean?

Back

This means that for every 2 units the line runs to the right, it rises 1 unit.

Front

What is the slope of a line that has a rise of 0?

Back

The slope is 0, indicating a horizontal line.

Front

What is the slope of a line that has a run of 0?

Back

The slope is undefined, indicating a vertical line.