Slope and Intercept Flashcard

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 (0, b) in the equation y = mx + b.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

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

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How do you find the y-intercept from the equation 2x - y = 4?

Back

To find the y-intercept, set x = 0 and solve for y. The y-intercept is -4.

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

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

Front

How can you determine if a line is vertical from its equation?

Back

A line is vertical if it can be expressed in the form x = a, where a is a constant.

Front

What is the equation of a line with no slope and a y-intercept of 3?

Back

The equation is y = 3.