Intercept Interpretation

Front

What is the x-intercept in a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, indicating the value of x when y is zero.

Front

What does the x-intercept represent in a profit graph for a business?

Back

It represents the number of units (e.g., haircuts) that must be sold to break even, meaning no profit or loss.

Front

How do you find the x-intercept of a linear equation?

Back

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

Front

What is the y-intercept in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of y when x is zero.

Front

What does the y-intercept represent in a profit graph for a business?

Back

It represents the fixed costs or initial debt when no units are sold.

Front

How do you find the y-intercept of a linear equation?

Back

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

Front

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

Back

It indicates the point at which a business starts to make a profit after covering its costs.

Front

What does a negative x-intercept indicate in a profit graph?

Back

A negative x-intercept suggests that the business cannot break even with the current pricing or cost structure.

Front

What is the relationship between the slope of a line and the y-intercept?

Back

The slope indicates the rate of change of y with respect to x, while the y-intercept shows the starting value of y when x is zero.

Front

How can you interpret the x-intercept in the context of a submarine's depth over time?

Back

The x-intercept indicates the time at which the submarine reaches the surface (depth = 0 feet).