Slope and Y-intercept from a Graph by Magoffin

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented as (0, b) in the equation of a line y = mx + b, where b is the y-intercept.

Front

How do you find the slope of a line from a graph?

Back

The slope of a line is calculated by taking the rise (change in y) over the run (change in x) between two points on the line. It is often represented as m in the equation of a line.

Front

What does a positive slope indicate about a line?

Back

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

Front

What is the slope of a line that rises 3 units for every 4 units it runs?

Back

The slope (m) is 3/4.

Front

What is the slope of a line that falls 2 units for every 5 units it runs?

Back

The slope (m) is -2/5.

Front

What is the formula for the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

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 it moves along the x-axis.

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 over run.

Front

What is the y-intercept of the line represented by the equation y = 5x + 3?

Back

The y-intercept is 3.