x and y intercepts

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 y-coordinate is zero.

Front

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

Back

Set y = 0 and solve for x. The x-intercept is (8, 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 x-coordinate is zero.

Front

How do you find the y-intercept of the equation 3x + y = 5?

Back

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

Front

True or False: The y-intercept of a function ALWAYS occurs where y is equal to zero.

Back

False. The y-intercept occurs where x is equal to zero.

Front

What is the x-intercept of the line represented by the equation y = -2x + 4?

Back

Set y = 0: 0 = -2x + 4, so x = 2. The x-intercept is (2, 0).

Front

What is the y-intercept of the line represented by the equation y = 3x - 6?

Back

Set x = 0: y = 3(0) - 6, so y = -6. The y-intercept is (0, -6).

Front

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

Back

Look for the point where the line crosses the x-axis.

Front

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

Back

Look for the point where the line crosses the y-axis.

Front

What does the point (0, 3) represent on a graph?

Back

It represents the y-intercept of the line, where x is zero.