Linear Equations Flashcard Review Topic 2

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

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is y = b, where b is the y-coordinate of any point on the line.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is x = a, where a is the x-coordinate of any point on the line.

Front

How do you convert the standard form of a linear equation (Ax + By = C) to slope-intercept form?

Back

To convert, solve for y: y = (-A/B)x + (C/B).

Front

What is the y-intercept of the equation y = -4x + 4?

Back

The y-intercept is 4, which is the point (0, 4) on the graph.

Front

What is the x-intercept of the equation 2x + 4y = 4?

Back

To find the x-intercept, set y = 0: 2x = 4, so x = 2. The x-intercept is (2, 0).

Front

How can you determine if two lines are parallel from their equations?

Back

If the coefficients of x in both equations are proportional and the coefficients of y are also proportional, the lines are parallel.