Zeros and x 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 4x - 10y = 20?

Back

Set y = 0 and solve for x: 4x = 20, so x = 5. The x-intercept is (5, 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 4x - 10y = 20?

Back

Set x = 0 and solve for y: -10y = 20, so y = -2. The y-intercept is (0, -2).

Front

What are x-intercepts?

Back

X-intercepts are the points on the graph where the value of y is 0.

Front

Identify the x-intercepts of the equation y = x^2 - 4.

Back

Set y = 0: 0 = x^2 - 4. The x-intercepts are x = -2 and x = 2.

Front

What is the relationship between x-intercepts and roots of a polynomial?

Back

The x-intercepts of a polynomial function are the same as the roots or solutions of the equation when set to zero.

Front

How do you determine the x-intercepts from a graph?

Back

Look for the points where the graph crosses the x-axis.

Front

What is the significance of the vertex in relation to x-intercepts?

Back

The vertex of a parabola can indicate the maximum or minimum point, which helps in determining the number of x-intercepts.

Front

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

Back

It means the line is parallel to the x-axis and does not cross it, indicating that the equation has no real solutions.