X and Y intercepts

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It is represented as (0, b) in the equation of a line y = mx + b.

Front

How do you find the x-intercept from an equation?

Back

To find the x-intercept, set y to 0 in the equation and solve for x.

Front

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

Back

The x-intercept is -2.

Front

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

Back

If a line has no x-intercept, it means the line is parallel to the x-axis and does not cross it.

Front

What is the significance of the slope in the equation y = mx + b?

Back

The slope (m) indicates the steepness of the line and the direction it moves. A positive slope rises, while a negative slope falls.

Front

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

Back

The y-intercept is 6.

Front

How can you determine the x-intercept from a graph?

Back

The x-intercept can be determined by locating the point where the graph crosses the x-axis.

Front

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

Back

The x-intercept is 2.

Front

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

Back

The x-intercepts of a graph represent the roots or solutions of the polynomial equation.

Front

What does it mean if a line has a y-intercept of 0?

Back

If a line has a y-intercept of 0, it means the line passes through the origin (0,0).