Linear Equations

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

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, indicating how steep the line is.

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is a y-intercept?

Back

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

Front

How can you identify the slope from the equation of a line in slope-intercept form?

Back

In slope-intercept form (y = mx + b), m represents the slope of the line.

Front

What is the significance of the x-intercept?

Back

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

Front

How do you find the y-intercept from a linear equation in standard form?

Back

To find the y-intercept from Ax + By = C, set x = 0 and solve for y.

Front

What does it mean if two lines are parallel?

Back

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