x and y intercepts

Front

What is the y-intercept of a line?

Back

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

Front

How do you find the y-intercept from an equation?

Back

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

Front

What is the x-intercept of a line?

Back

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

Front

How do you find the x-intercept from an equation?

Back

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

Front

What is the general form of a linear equation?

Back

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

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating the steepness of the line.

Front

How do you calculate the slope from two points?

Back

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

Front

What is the significance of the point (0, b) in a linear equation?

Back

The point (0, b) represents the y-intercept of the line.

Front

What is the significance of the point (a, 0) in a linear equation?

Back

The point (a, 0) represents the x-intercept of the line.

Front

What is the relationship between x and y intercepts in a linear equation?

Back

The x and y intercepts are the points where the line crosses the x-axis and y-axis, respectively.