Intercepts and Extrema Points

Front

What is the y-intercept of a line?

Back

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

Front

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

Back

Set x = 0 in the equation and solve for y.

Front

What is the x-intercept of a line?

Back

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

Front

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

Back

Set y = 0 in the equation and solve for x.

Front

What does it mean if a graph has a maximum point?

Back

A maximum point is the highest point on the graph, where the function changes from increasing to decreasing.

Front

What does it mean if a graph has a minimum point?

Back

A minimum point is the lowest point on the graph, where the function changes from decreasing to increasing.

Front

How can you identify maximum and minimum points on a graph?

Back

By analyzing the slope of the graph; maximum points have a positive slope before and a negative slope after, while minimum points have a negative slope before and a positive slope after.

Front

What is the significance of the coordinates (0, b) in a linear equation?

Back

These coordinates represent the y-intercept of the line, where b is the value of y when x is 0.

Front

What is the significance of the coordinates (a, 0) in a linear equation?

Back

These coordinates represent the x-intercept of the line, where a is the value of x when y is 0.

Front

What is the general form of a linear equation?

Back

The general form is y = mx + b, where m is the slope and b is the y-intercept.