Flashcard # 1 Standard Form of a Line

Front

What is the standard form of a line?

Back

The standard form of a line is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you find the x-intercept of a line?

Back

To find the x-intercept, set y = 0 in the equation of the line and solve for x.

Front

How do you find the y-intercept of a line?

Back

To find the y-intercept, set x = 0 in the equation of the line and solve for y.

Front

What is point-slope form of a line?

Back

The point-slope form of a line is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Front

What is a horizontal line?

Back

A horizontal line has a slope of 0 and is represented by the equation y = b, where b is the y-coordinate of any point on the line.

Front

What is a vertical line?

Back

A vertical line has an undefined slope and is represented by the equation x = a, where a is the x-coordinate of any point on the line.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.