Finding X and Y intercepts

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the graph of the equation crosses the x-axis, meaning the value of y is 0.

Front

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

Back

Set y to 0: 0 = 3x - 12. Solve for x: x = 4. The x-intercept is (4, 0).

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, meaning the value of x is 0.

Front

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

Back

Set x to 0: 5(0) + y = 5. Solve for y: y = 5. The y-intercept is (0, 5).

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

How do you find the x-intercept of the equation y = -5x + 10?

Back

Set y to 0: 0 = -5x + 10. Solve for x: x = 2. The x-intercept is (2, 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 never crosses it, indicating that y is constant.

Front

How do you find the y-intercept of the equation y = 3x + 8?

Back

Set x to 0: y = 3(0) + 8. The y-intercept is (0, 8).

Front

What is the significance of the x-intercept in a real-world context?

Back

The x-intercept can represent a point where a quantity reaches zero, such as time when a project starts.

Front

How do you find the x-intercept of the equation 3x + 8y = 24?

Back

Set y to 0: 3x + 8(0) = 24. Solve for x: x = 8. The x-intercept is (8, 0).