Learn Before
Finding the Intercepts of
To determine the intercepts of the equation , apply the substitution method for each axis crossing.
Finding the x-intercept: Set and solve for :
The x-intercept is the point (3, 0).
Finding the y-intercept: Set and solve for :
The y-intercept is the point (0, 6).
The two intercepts of the line are (3, 0) and (0, 6).
0
1
References
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OpenStax
Elementary Algebra @ OpenStax
Ch.4 Graphs - Elementary Algebra @ OpenStax
Algebra
Math
Prealgebra
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Finding the Intercepts of
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A logistics company uses the linear equation y = 500 - 20x to model the remaining balance (y) of a prepaid shipping account after x number of packages are sent. To find the x-intercept, which represents the total number of packages that can be sent before the balance reaches zero, which algebraic step must be performed?
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Learn After
A project manager uses the linear equation 2x + y = 6 to track the distribution of two types of supplies. What are the x-intercept and y-intercept for this equation?
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A retail manager uses the linear equation to plan the layout for two types of shelving units, where represents large units and represents small units. The manager needs to identify the x-intercept to determine the maximum capacity for large units when no small units are used (). Which coordinate point represents the x-intercept for this model?
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Learn After
A project manager uses the linear equation 2x + y = 6 to track the distribution of two types of supplies. What are the x-intercept and y-intercept for this equation?
A retail manager uses the linear equation 2x + y = 6 to model the relationship between two types of product displays. Match each intercept type with its correct coordinate point for this specific equation.
A warehouse manager uses the linear equation 2x + y = 6 to plan floor space allocation between two types of storage. To find the maximum capacity for the first storage type (the x-intercept) when no units of the second type are used (y = 0), the manager must follow a specific algebraic process. Arrange the following steps in the correct order to find the x-intercept for this equation.
An inventory manager uses the linear equation to track warehouse space allocation. According to this model, the y-intercept is the coordinate point (0, ____).
A logistics coordinator uses the linear equation to manage the weight distribution of two different types of cargo. True or False: For this specific equation, the x-intercept is the coordinate point (3, 0).
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A retail manager uses the linear equation to plan the layout for two types of shelving units, where represents large units and represents small units. The manager needs to identify the x-intercept to determine the maximum capacity for large units when no small units are used (). Which coordinate point represents the x-intercept for this model?
A production supervisor uses the linear equation to balance the output of two different assembly lines, where and represent the number of units produced by each line. To determine the x-intercept of this model, the supervisor substitutes into the equation. Which of the following simplified equations must be solved next as part of this recallable process?
Related
Finding the Intercepts of
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A logistics company uses the linear equation y = 500 - 20x to model the remaining balance (y) of a prepaid shipping account after x number of packages are sent. To find the x-intercept, which represents the total number of packages that can be sent before the balance reaches zero, which algebraic step must be performed?
A logistics company uses the linear equation y = 500 - 20x to model the remaining balance (y) of a prepaid shipping account after x number of packages are sent. To find the x-intercept, which represents the total number of packages that can be sent before the balance reaches zero, which algebraic step must be performed?
A project manager uses a linear equation to track the remaining budget for a corporate initiative. To find the x-intercept (the point in time when the budget is completely spent), arrange the following algebraic steps in the correct order.
In professional finance, identifying a project's starting cost or its break-even point often involves finding the intercepts of a linear model. Match each intercept goal with the correct algebraic procedure or ordered pair format.
To determine the x-intercept of a linear equation used to model when a corporate project's budget will be fully exhausted, an analyst must substitute 0 for the variable y and solve the equation for x.
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An operations manager uses a linear equation to predict when a storage tank will be empty. To find the x-intercept, which represents the time when the remaining volume () reaches zero, the manager must substitute the value ____ for the variable in the equation.
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A corporate consultant uses a linear equation to model the total cost () of a service contract based on the number of hours worked (). The y-intercept represents the initial setup fee. Arrange the following steps in the correct algebraic order to find this y-intercept.
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