Standard form - intercepts

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A and B are not both zero.

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.

Front

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

Back

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

Front

What are intercepts in the context of linear equations?

Back

Intercepts are the points where the graph of the equation crosses the x-axis (x-intercept) and y-axis (y-intercept).

Front

What is the x-intercept of the equation 3x + 8y = 24?

Back

The x-intercept is (8, 0).

Front

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

Back

The y-intercept is (0, 2).

Front

What is the y-intercept of the equation 2x + y = 6?

Back

The y-intercept is (0, 6).

Front

What is the x-intercept of the equation 2x + y = 6?

Back

The x-intercept is (3, 0).

Front

What does it mean if a linear equation has no x-intercept?

Back

It means the line is parallel to the x-axis and does not cross it.

Front

What does it mean if a linear equation has no y-intercept?

Back

It means the line is parallel to the y-axis and does not cross it.