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 equation of a line (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 does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y 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 x increases, y decreases, meaning the line falls from left to right.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal, indicating that there is no change in y as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, meaning there is no change in x as y changes.

Front

Given the points (1, 2) and (3, 6), find the slope.

Back

The slope is 2, calculated as (6 - 2) / (3 - 1).

Front

Given the points (-1, -1) and (1, 1), find the slope.

Back

The slope is 1, calculated as (1 - (-1)) / (1 - (-1)).

Front

What is the slope of the line that passes through the points (-4, -1) and (-2, -5)?

Back

The slope is -2.

Front

What is the slope of the line that passes through the points (3, 2) and (4, 7)?

Back

The slope is 5.