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, y).

Front

What is the x-intercept?

Back

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

Front

How many intercepts can a graph have?

Back

A graph can have 0, 1, or 2 intercepts, depending on its shape and position.

Front

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

Back

If a graph has no x-intercepts, it means the line does not cross the x-axis, indicating that the function does not have real roots.

Front

What does it mean if a graph has no y-intercepts?

Back

If a graph has no y-intercepts, it means the line does not cross the y-axis, which is possible for vertical lines.

Front

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

Back

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

Front

What is the significance of the intercepts in a graph?

Back

Intercepts provide key points that help in sketching the graph and understanding the behavior of the function.

Front

In the equation 3x + y + 2 = 0, what is the y-intercept?

Back

The y-intercept is -2.

Front

In the equation y = mx + b, what does b represent?

Back

In the equation y = mx + b, b represents the y-intercept.