How do you find the x and y intercepts of the following equation?

  1. Please help.

    Y=3x+11

    I understand that you need to plug in 0 for x when you want to find y and the same goes for x but what would you do from there?

    Answer by Wile E.
    y = 3x + 11

    x-int.: y = 0:

    3x + 11 = 0
    3x = – 11
    x = – 11/3

    x-int. (- 11/3, 0)
    ¯¯¯¯¯¯¯¯¯¯¯¯¯

    y-int.: x = 0:

    y = 3(0) + 11
    y = 0 + 11
    y = 11

    y-int. (0, 11)
    ¯¯¯¯¯¯¯¯¯¯
     

  2. Suppose y is inversely proportional to x and the constant of proportionality equals 4 . What is the minimum of the sum of x and y if x and y are both positive?

    Answer by Cam
    so y = 4/x

    the min of x + y is going to be 2 and 2.

    If x = 0, y = infinity
    infinity + 0 = infinity

    If x = 1, y = 4
    4 + 1 = 5

    If x = 1.98, y = 2.020202020202……
    1.98 + 2.0202… = 4.00020202…

    Similar when x > 2.

  3. What are the x– and y–intercepts of the quadratic equation y = (x – 1)^2 – 16? Identify the x–intercepts by graphing the quadratic equation.

    Answer by Katia T
    plug in x = 0..that’ll tell you the y-intercept…do the vice-versa for the x-intercept.