How can you distinguish between the x -intercept and the y -intercept from a graph?

The x -intercept is the point where the graph crosses the x -axis (horizontal axis) and the y -intercept is the point where the graph crosses the y -axis (vertical axis).

The x -intercept is the point where the graph crosses the x -axis (vertical axis) and the y -intercept is the point where the graph crosses the y -axis (horizontal axis).

The y-intercept is the point where the graph crosses the x -axis (horizontal axis) and the x-intercept is the point where the graph crosses the y -axis (vertical axis).

The x -intercept is the point where the graph crosses the y-axis (horizontal axis) and the y -intercept is the point where the graph crosses the x-axis (vertical axis).

The graph shown below represents the number of tickets that a theater must sell in order to generate $350 in revenue from ticket sales. Interpret both the x -intercepts in the relationships shown in the graphs below.

The x -intercept, (70, 0), shows that if the theater sells only adult tickets, they must sell 70 adult tickets in order to generate $350 in revenue.

The x-intercept, (0, 140), shows that if the theater sells only children’s tickets, they must sell 140 children’s tickets in order to generate $350 in revenue.

The x -intercept, (70, 0), shows that if the theater sells only adult tickets, they must sell 0 adult tickets in order to generate $350 in revenue.

The x -intercept, (70, 0), shows that if the theater sells only adult tickets, they must sell 0 adult tickets in order to generate $70 in revenue.

The graph shown below represents the number of tickets that a theater must sell in order to generate $350 in revenue from ticket sales. Interpret the y -intercepts in the relationships shown in the graphs below.

The y -intercept, (0, 140), shows that if the theater sells only children’s tickets, they must sell 140 children’s tickets in order to generate $350 in revenue.

The x-intercept, (0, 140), shows that if the theater sells only children’s tickets, they must sell 140 children’s tickets in order to generate $350 in revenue.

The y -intercept, (0, 70), shows that if the theater sells only children’s tickets, they must sell 70 children’s tickets in order to generate $350 in revenue.

The y -intercept, (140, 0), shows that if the theater sells only children’s tickets, they must sell 0 children’s tickets in order to generate $350 in revenue.

A hiker is hiking down a canyon toward the canyon floor. On the graph below you can see her height above the canyon floor as a function of time. What is the best interpretation of the x-intercept?

The x -intercept, (18, 0), shows that in 18 minutes, the height of the hiker above the canyon floor will be zero; in other words, the hiker will reach the canyon floor in 18 minutes.

The x -intercept, (0, 18), shows that in 18 minutes, the height of the hiker above the canyon floor will be zero; in other words, the hiker will reach the canyon floor in 18 minutes.

The x -intercept, (0, 360), shows that in 360 minutes, the height of the hiker above the canyon floor will be zero; in other words, the hiker will reach the canyon floor in 360 minutes.

A hiker is hiking down a canyon toward the canyon floor. On the graph below you can see her height above the canyon floor as a function of time. What is the best interpretation of the y-intercept?

The y -intercept, (0, 360), shows that at time = 0 minutes, the hiker is 360 feet above the canyon floor.

The y-intercept, (0, 360), shows that in 360 minutes, the height of the hiker above the canyon floor will be zero; in other words, the hiker will reach the canyon floor in 360 minutes.

The y -intercept, (360, 0), shows that at time = 0 minutes, the hiker is 360 feet above the canyon floor.

The x -intercept, (0, 360), shows that in 360 minutes, the height of the hiker above the canyon floor will be zero; in other words, the hiker will reach the canyon floor in 360 minutes.

What does a y -intercept look like in a table of values?

The x-value in a row is any number

The table below shows the distance remaining in a bus trip from Houston to Dallas as a function of time. How far is it in miles from Houston to Dallas?

The y -intercept, (0, 240), shows that with 0 hours of travel, there are 240 miles remaining to Dallas; the total distance that must be traveled is 240 miles.

The x -intercept, (4, 0), shows that after driving 4 hours, there are 0 miles remaining; the bus arrives in Dallas after 4 hours.

The x-intercept, (240, 0), shows that with 0 hours of travel, there are 240 miles remaining to Dallas; the total distance that must be traveled is 240 miles.

The y -intercept, (240, 0), shows that with 0 hours of travel, there are 240 miles remaining to Dallas; the total distance that must be traveled is 240 miles.

The table below shows the distance remaining in a bus trip from Houston to Dallas as a function of time. How many hours will the trip take?

The x -intercept, (4, 0), shows that after driving 4 hours, there are 0 miles remaining; the bus arrives in Dallas after 4 hours.

The x -intercept, (0, 4), shows that after driving 4 hours, there are 0 miles remaining; the bus arrives in Dallas after 4 hours.

The y -intercept, (0, 240), shows that with 0 hours of travel, there are 240 miles remaining to Dallas; the total distance that must be traveled is 240 miles.

The y -intercept, (240, 0), shows that with 0 hours of travel, there are 240 miles remaining to Dallas; the total distance that must be traveled is 240 miles.

Maria has a cell phone plan that uses the equation y = 0.55 x + 14, where y represents the base plan cost and x represents the number of minutes used, to determine the amount of her cell phone bill each month, before taxes and fees. What is the base cost of the plan ( y -intercept) before minutes are used?

The y -intercept, (0, 14), shows that if Maria does not use her cell phone at all during a month to make calls, she will pay a $14 fixed charge.

The y -intercept, (14, 0), shows that if Maria does not use her cell phone at all during a month to make calls, she will pay a $14 fixed charge.

The y -intercept, (0, 14), shows that if Maria uses her cell phone for 14 months to make calls, she will pay a $0 fixed charge.

The x-intercept, (14, 0), shows that if Maria does not use her cell phone at all during a month to make calls, she will pay a $14 fixed charge.

Maria has a cell phone plan that uses the equation y = 0.55 x + 14, where y represents the base plan cost and x represents the number of minutes used, to determine the amount of her cell phone bill each month, before taxes and fees. How many minutes used does the base cost represent ( x- intercept), before additional minutes are used?

The x -intercept, (-25.45, 0), shows that the fixed monthly charge is approximately equal to the amount of money that 25.45 minutes cost.

The x -intercept, (0, -25.45), shows that the fixed monthly charge is approximately equal to the amount of money that 25.45 minutes cost.

The x-intercept, (14, 0), shows that if Maria does not use her cell phone at all during a month to make calls, she will pay a $14 fixed charge.

The y -intercept, (0, 14), shows that if Maria does not use her cell phone at all during a month to make calls, she will pay a $14 fixed charge.

Subkhir has a car loan, and he uses the equation y = 7,500 – 250 x , where x represents the number of months that he has been paying the loan and y represents the remaining balance on the loan, to determine his remaining loan balance. What was the initial amount of Subkhir's car loan ( y -intercept)?

The y -intercept, (0, 7,500), shows that Subkhir initially borrowed $7,500.

The x -intercept, (30, 0), shows that in 30 months, the remaining balance will be equal to $0, or in other words, Subkhir’s car loan will be paid in full.

The y -intercept, (7,500, 0), shows that Subkhir initially borrowed $7,500.

The x -intercept, (0, 30), shows that in 30 months, the remaining balance will be equal to $0, or in other words, Subkhir’s car loan will be paid in full.

Subkhir has a car loan, and he uses the equation y = 7,500 – 250 x , where x represents the number of months that he has been paying the loan and y represents the remaining balance on the loan, to determine his remaining loan balance. In how many months will the remaining balance be $0 ( x -intercept)?

The x -intercept, (30, 0), shows that in 30 months, the remaining balance will be equal to $0, or in other words, Subkhir’s car loan will be paid in full.

The y -intercept, (0, 7,500), shows that Subkhir initially borrowed $7,500.

The y -intercept, (7,500, 0), shows that Subkhir initially borrowed $7,500.

The x -intercept, (0, 30), shows that in 30 months, the remaining balance will be equal to $0, or in other words, Subkhir’s car loan will be paid in full.

Nimitha buys fruit at her local farmer’s market. This Saturday, oranges cost $2 per pound and cherries cost $3 per pound. She has $12 to spend on fruit. Nimitha can use the equation 2 x + 3 y = 12, where x represents the number of pounds of oranges and y represents the number of pounds of cherries, to determine how many pounds of each fruit she may purchase. If Nimitha buys only oranges, how many pounds can she buy ( x -intercept)?

The x -intercept, (6, 0), shows that if Nimitha buys only oranges, she can buy 6 pounds of oranges.

The y -intercept, (0, 4), shows that if Nimitha buys only cherries, she can buy 4 pounds of cherries.

The y -intercept, (4, 0), shows that if Nimitha buys only cherries, she can buy 4 pounds of cherries.

The x -intercept, (0, 6), shows that if Nimitha buys only oranges, she can buy 6 pounds of oranges.

Intercept Method

Authored by Barbara White

Mathematics

7th - 9th Grade

CCSS covered

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25 questions

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MULTIPLE CHOICE QUESTION

30 sec • 5 pts

_{What is the y-intercept of the line?}

(0,¹/₂)

(0,1)

(0, ^-1/2)

(0, -1)

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

^{What is the x- intercept of the line?}

(1, 0)

(2, 0)

( -1, 0)

(-2, 0)

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which ordered pair could represent a y-intercept on a graph?

(6, 0)

(0, 4)

(-1, 3)

(2, 0)

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Give the y-interecept
3x + y = 5

(-3, 0)

(0,5)

(5, 0)

(0, -3)

MULTIPLE CHOICE QUESTION

2 mins • 5 pts

Give the x-intercept
3x + 8y = 24

(8, 0)

(0, 8)

(3, 0)

(0, 3)

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the y-intercept in the equation x + 2y = 4

(0, 0)

(0, 2)

(4, 0)

(2, 0)

What is the x-intercept for the given graph?

-2

1/2

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