Linear Relationships

Front

What is the y-intercept of a linear graph?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, y).

Front

How do you calculate the slope of a line?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the 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 horizontal line?

Back

The slope of a horizontal line is zero.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

The slope is 2.

Front

What is the equation of a line in slope-intercept form?

Back

The equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you identify a line with a zero slope?

Back

A line with a zero slope is horizontal and does not rise or fall.

Front

What does it mean if a line has an undefined slope?

Back

An undefined slope means the line is vertical and does not have a defined angle of inclination.