Equations of Lines Flashcard Review

Front

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

Back

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

Front

How does the equation y = x + 2 compare to y = x?

Back

y = x + 2 is a vertical shift up by 2 units.

Front

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

Back

The slope is -1.

Front

What is the y-intercept of the line y = -x - 4?

Back

The y-intercept is -4.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls from left to right.

Front

What is the slope-intercept form of the line with slope -3/2 and y-intercept 4?

Back

y = -3/2x + 4.