x and y intercepts

Front

What is the x-intercept of a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, meaning the y-coordinate is zero.

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, meaning the x-coordinate is zero.

Front

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

Back

True

Front

Given the ordered pair (3, 5), what is the x-intercept?

Back

(3, 0) is not the x-intercept; the x-intercept is found by setting y to 0.

Front

Given the ordered pair (0, -2), what is the y-intercept?

Back

(0, -2) is the y-intercept because the x-coordinate is zero.

Front

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

Back

Set y to 0 and solve for x.

Front

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

Back

Set x to 0 and solve for y.

Front

What is the significance of the x-intercept in a real-world context?

Back

The x-intercept can represent a point where a quantity reaches zero, such as profit or population.

Front

What is the significance of the y-intercept in a real-world context?

Back

The y-intercept can represent the initial value of a quantity before any changes occur.

Front

Given the equation y = 2x + 4, what is the y-intercept?

Back

The y-intercept is 4, which occurs when x = 0.