Determining X/Y Intercepts and their Meaning

Front

What is the y-intercept?

Back

The y-intercept is the point where the graph crosses the y-axis, represented as (0, y).

Front

What is the definition of x-intercept?

Back

The x-intercept is the point where the graph crosses the x-axis, represented as (x, 0).

Front

How do you interpret the x-intercept in a word problem involving budget?

Back

The x-intercept represents the quantity of the first item purchased when the second item is not purchased at all.

Front

What is the equation to represent a budget problem with two items?

Back

The equation is typically in the form: price1 * x + price2 * y = total budget.

Front

What does the x-intercept represent in a scuba diving air tank problem?

Back

The x-intercept represents how long it will take to run out of air.

Front

If Tech-decks cost $7 each and Takis cost $4 each, what is the maximum number of Tech-decks you can buy with $28?

Back

You can buy 4 Tech-decks (28/7 = 4).

Front

What does the y-intercept indicate in a graph of a budget problem?

Back

The y-intercept indicates the maximum quantity of the second item that can be purchased when the first item is not purchased.

Front

In the equation 7x + 4y = 28, what do x and y represent?

Back

x represents the number of Tech-decks, and y represents the number of bags of Takis.

Front

How do you find the x-intercept of the equation 7x + 4y = 28?

Back

Set y = 0 and solve for x: 7x = 28, so x = 4.

Front

How do you find the y-intercept of the equation 7x + 4y = 28?

Back

Set x = 0 and solve for y: 4y = 28, so y = 7.