Intercepts from a Graph

Front

What is an x-intercept?

Back

The x-intercept is the point where a graph intersects the x-axis, represented as (x, 0).

Front

What is a y-intercept?

Back

The y-intercept is the point where a graph intersects the y-axis, represented as (0, y).

Front

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

Back

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

Front

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

Back

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

Front

What does the point (3, -1) represent in terms of intercepts?

Back

The point (3, -1) indicates that the x-intercept is 3 and the y-intercept is -1.

Front

True or False: The x-intercept can be negative.

Back

True, the x-intercept can be negative if the graph crosses the x-axis to the left of the origin.

Front

What is the significance of intercepts in graphing linear equations?

Back

Intercepts help to quickly identify key points on the graph and understand the behavior of the line.

Front

If a line has an x-intercept of -2, what does this indicate?

Back

It indicates that the line crosses the x-axis at the point (-2, 0).

Front

What is the relationship between the slope and intercepts in a linear equation?

Back

The slope indicates the steepness of the line, while the intercepts indicate where the line crosses the axes.

Front

How can you determine if a point is an x-intercept or a y-intercept?

Back

An x-intercept has a y-coordinate of 0, while a y-intercept has an x-coordinate of 0.