Finding Slope and Y-Intercept

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually 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 is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as 'b' in the equation of a line (y = mx + b).

Front

How can you find the y-intercept from the slope-intercept form of a line?

Back

In the slope-intercept form (y = mx + b), the y-intercept is the value of 'b' when x = 0.

Front

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

Back

The slope of the line is 2.

Front

What is the slope of the line represented by the equation y = -4x + 1?

Back

The slope of the line is -4.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal and does not rise or fall as x changes.

Front

If a line has an undefined slope, what does that mean?

Back

An undefined slope means the line is vertical, and it does not have a defined rise/run.