Graphing Linear Equations

Front

What is the y-intercept of the equation y = 6x - 12?

Back

The y-intercept is y = -12.

Front

What does the slope of a linear equation 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

The standard form is Ax + By = C, where A, B, and C are integers.

Front

What does it mean if a linear equation has a slope of 0?

Back

It means the line is horizontal and there is no change in y as x changes.

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 can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

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

Back

The x-intercept is x = -2.

Front

What does the term 'linear' mean in mathematics?

Back

Linear refers to a relationship that can be graphically represented as a straight line.

Front

How do you graph the equation y = 1/2x + 2?

Back

Start at the y-intercept (0, 2) and use the slope (1/2) to find another point.