3.1 & 3.2: X and Y Intercepts

Front

What is an x-intercept?

Back

The x-intercept is the point where a graph crosses the x-axis. At this point, the value of y is 0.

Front

What is a y-intercept?

Back

The y-intercept is the point where a graph crosses the y-axis. At this point, the value of x is 0.

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 is the significance of the intercepts in a graph?

Back

Intercepts help to identify the location of the graph on the coordinate plane and are useful in sketching the graph.

Front

Given the equation 2x + 3y = 6, find the y-intercept.

Back

(0, 2) - Set x = 0, then 3y = 6, so y = 2.

Front

Given the equation x - 4y = 8, find the x-intercept.

Back

(8, 0) - Set y = 0, then x = 8.

Front

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

Back

It means the graph 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-intercept?

Back

It means the graph does not cross the y-axis, which can occur in vertical lines.

Front

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

Back

Look for the point where the graph touches or crosses the x-axis.