Slope and y-intercept

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It is represented as the value of y when x is 0.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero, meaning there is no change in y as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x is zero, leading to division by zero.

Front

How do you find the slope from 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-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.

Front

If the equation of a line is y = 3x + 2, what is the slope?

Back

The slope is 3.

Front

If the equation of a line is y = -2x + 5, what is the y-intercept?

Back

The y-intercept is 5.

Front

What does it mean if a line has a slope of zero?

Back

A slope of zero means the line is horizontal and does not rise or fall.