ALG2 Finding x and y intercepts from an equation

Front

What is the x-intercept of an equation?

Back

The x-intercept is the point where the graph of the equation crosses the x-axis. It occurs when y = 0.

Front

How do you find the x-intercept of the equation 5x = 15 - 3y?

Back

Set y = 0 in the equation: 5x = 15. Solve for x to find the x-intercept, which is x = 3.

Front

What is the y-intercept of an equation?

Back

The y-intercept is the point where the graph of the equation crosses the y-axis. It occurs when x = 0.

Front

How do you find the y-intercept of the equation 4y = 12 + 6x?

Back

Set x = 0 in the equation: 4y = 12. Solve for y to find the y-intercept, which is y = 3.

Front

How do you find the y-intercept of the equation x - 4y = 8?

Back

Set x = 0 in the equation: -4y = 8. Solve for y to find the y-intercept, which is y = -2.

Front

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

Back

Set x = 0 in the equation: 4y = 20. Solve for y to find the y-intercept, which is y = 5.

Front

How do you find the y-intercept of the equation 5x = 15 - 3y?

Back

Set x = 0 in the equation: -3y = 15. Solve for y to find the y-intercept, which is y = 5.

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

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

Back

If an equation has no x-intercept, it means the graph does not cross the x-axis, indicating that the equation has no real solutions for x.

Front

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

Back

If an equation has no y-intercept, it means the graph does not cross the y-axis, indicating that the equation is vertical and cannot be expressed in the form y = mx + b.