Linear Key Features

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the graph of the equation crosses the y-axis, represented as (0, b) where b is the value of the y-coordinate.

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x. The x-intercept is the point where the graph crosses the x-axis, represented as (a, 0).

Front

What does the x-intercept represent in a graph?

Back

The x-intercept represents the value of x when y is zero, indicating where the graph intersects the x-axis.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept represents the value of y when x is zero, indicating where the graph intersects the y-axis.

Front

If a linear equation has an x-intercept of (-3, 0), what does this mean?

Back

It means that the graph of the equation crosses the x-axis at the point (-3, 0).

Front

If a linear equation has a y-intercept of (0, -2), what does this mean?

Back

It means that the graph of the equation crosses the y-axis at the point (0, -2).

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

How can you determine the slope of a line from two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are two points on the line.

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

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line; a positive slope means the line rises, while a negative slope means it falls.