Finding X and Y intercepts

Front

What is the x-intercept of a function?

Back

The x-intercept is the point where the graph of a function crosses the x-axis, which occurs when y = 0.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of a function crosses the y-axis, which occurs when x = 0.

Front

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

Back

True

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 3x + y = 5?

Back

Set x = 0 and solve for y: 3(0) + y = 5, so y = 5. The y-intercept is (0, 5).

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

How do you find the y-intercept of the equation x + 2y = 4?

Back

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

Front

What is the general form of a linear equation?

Back

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

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, meaning it has a constant rate of change.

Front

What is the slope-intercept form of a linear equation?

Back

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