x and y intercepts

Front

What is the definition of a y-intercept?

Back

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

Front

What is the definition of an x-intercept?

Back

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

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

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

What is the y-intercept of the equation 2x + 3y = 6?

Back

(0, 2) - Set x = 0: 3y = 6, y = 2.

Front

What is the x-intercept of the equation 4x - 2y = 8?

Back

(2, 0) - Set y = 0: 4x = 8, x = 2.

Front

Which ordered pair represents a y-intercept? (3, 0), (0, -5), (4, 0), (0, 2)

Back

(0, -5) - The y-intercept has an x-coordinate of 0.

Front

Which ordered pair represents an x-intercept? (0, 3), (5, 0), (0, -2), (2, 2)

Back

(5, 0) - The x-intercept has a y-coordinate of 0.

Front

What is the x-intercept of the equation 5x + 10y = 50?

Back

(10, 0) - Set y = 0: 5x = 50, x = 10.

Front

What is the y-intercept of the equation 3x - 6y = 12?

Back

(0, -2) - Set x = 0: -6y = 12, y = -2.