x and y intercept

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, meaning the value of y is 0.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, meaning the value of x is 0.

Front

How do you find the x-intercept of the equation 3x + 8y = 24?

Back

Set y = 0 and solve for x: 3x + 8(0) = 24, so x = 8. The x-intercept is (8, 0).

Front

How do you find the y-intercept of the equation 5x + y = 5?

Back

Set x = 0 and solve for y: 5(0) + y = 5, so y = 5. The y-intercept is (0, 5).

Front

What are the x- and y-intercepts of the line represented by the equation 5x + 0y = 25?

Back

The x-intercept is (5, 0) and the y-intercept is (0, 0).

Front

What is the significance of intercepts in graphing linear equations?

Back

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

Front

If a line has a y-intercept of -1, what does this mean?

Back

It means the line crosses the y-axis at the point (0, -1).

Front

What is the general form of a linear equation?

Back

The general form is Ax + By = C, where A, B, and C are constants.

Front

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

Back

Locate the point where the line crosses the x-axis; this point will have a y-coordinate of 0.

Front

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

Back

Locate the point where the line crosses the y-axis; this point will have an x-coordinate of 0.