Lesson Finding x-intercepts and y-intercepts

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Finding x-intercepts and y-intercepts


Problem 1

Find the  x-  and  y- intercepts of the line   x - 7y = 14.

Solution

1)  To find y-intercept, you simply put  x= 0 in the equation.

    Then you get  -7y = 14,  so  y= -2.

    You may say that y= -2 is y-intercept,

    or more accurately, that the point (0,-2) is y-intercept.



2)  To find x-intercept, you simply put  y= 0 in the equation.

    Then you get  x = 14.

    You may say that x= 14 is x-intercept,

    or more accurately, that the point (14,0) is x-intercept.

Problem 2

What is the  v-intercept  and  t-intercept for   %283%2F8%29v + %28875%2F2%29t = 9375 ?

Solution

To find t-intercept, take v=0 in the equation and find t

    t = %282%2A9375%29%2F875 = %282%2A75%29%2F7 = 150%2F7.



To find v-intercept, take t=0 in the equation and find v

    v = %288%2A9375%29%2F3 = 25000.


My other lessons in this site on plotting and analyzing functions are
    - Compressing and stretching graphs
    - HOW TO PLOT transformed functions
    - HOW TO write functions for transformed plots
    - HOW TO PLOT transformed periodic trigonometry functions
    - Analyzing periodic trigonometric functions for the amplitude, the period, vertical and horizontal shifts
    - Do not fall into a TRAP when analyzing problems on trigonometric functions
    - The domain and the range of transformed functions
    - Write a function which is a result of given transformations of the parent function
    - Describe transformations from the given parent function to final function
    - Writing a function rule for a function based on its wording description
    - Constructing a function based on its given properties
    - Finding inverse functions
    - Miscellaneous problems on plots of functions
    - Given a point on a plot of a function, find the corresponding point on the plot of transformed function
    - Special advanced problems on finding the domain of functions
    - Special advanced problems on finding the range of functions
    - OVERVIEW of lessons on plotting and analyzing functions

Use this file/link  ALGEBRA-I - YOUR ONLINE TEXTBOOK  to navigate over all topics and lessons of the online textbook  ALGEBRA-I.

Use this file/link  ALGEBRA-II - YOUR ONLINE TEXTBOOK  to navigate over all topics and lessons of the online textbook  ALGEBRA-II.


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