Finding X and Y Intercepts Flashcard

Front

What is the y-intercept of a linear equation?

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 of the equation 4x - 5y = 20?

Back

Set x = 0. The equation becomes -5y = 20, so y = -4. The y-intercept is (0, -4).

Front

What is the x-intercept of a linear equation?

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 of the equation 2x + 3y = 12?

Back

Set y = 0. The equation becomes 2x = 12, so x = 6. The x-intercept is (6, 0).

Front

What is the y-intercept of the equation 6x + 7y = 42?

Back

Set x = 0. The equation becomes 7y = 42, so y = 6. The y-intercept is (0, 6).

Front

How do you find the y-intercept of the equation 2x + 3y = 12?

Back

Set x = 0. The equation becomes 3y = 12, so y = 4. The y-intercept is (0, 4).

Front

How do you find the x-intercept of the equation 4x - 5y = 20?

Back

Set y = 0. The equation becomes 4x = 20, so x = 5. The x-intercept is (5, 0).

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 it mean if a line has no x-intercept?

Back

It means the line is vertical and does not cross the x-axis.

Front

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

Back

It means the line is horizontal and does not cross the y-axis.