Math

posted by .

Suppose that y is a linear function of x, and that y = 6 when x = 2 and y = 7 when x = 3. What is y when x = 7?

  • Math -

    (2,6) and (3,7)
    slope = (7-6)/(3-2) = 1
    so if y = m x + b and m = 1 then
    y = 1 x + b
    now put in a point, any point
    like
    6 = 1 (2) + b
    so
    b = 4
    and
    y = x + 4 (indeed, we could have figured that out with a sketched graph.)
    then if = 7 then y = 7 + 4 = 11

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    Suppose that you can calculate the derivative of a function using the formula f(x) = 2f(x) + 4x. If the output value of the function at x=4 is 3 estimate the value of the function at 4.012. Linear Approximation right?
  2. Math- Linear Functions

    Okay so suppose only dotted lines(rather that solid lines) border a solution region.The given linear objective function is Q=x+y, which is based on contiuous variables. Can the obejective function have a maximum or a minimum value?
  3. MAT101

    1. What is a function? 2. What is a linear function?
  4. Math

    Determine whether each verbal description represents a linear function or not. Correct me if I'm wrong on any of these!! 1. Jova walks quickly for 25 minutes then she rests for 5 minutes before continuing on for another 10 minutes. …
  5. Math

    Determine whether each verbal description represents a linear function or not. Correct me if I'm wrong on any of these!! 6.The price for x pounds of cheese at $6.99 per pound (LINEAR FUNCTION) 7. A car accelerating on the highway to …
  6. Math

    Determine whether each verbal description represents a linear function or not. Correct me if I'm wrong on any of these!! 1. Jova walks quickly for 25 minutes then she rests for 5 minutes before continuing on for another 10 minutes. …
  7. Math

    Determine whether each verbal description represents a linear function or not. Correct me if I'm wrong on any of these!! 6.The price for x pounds of cheese at $6.99 per pound (LINEAR FUNCTION) 7. A car accelerating on the highway to …
  8. Math

    Determine whether each verbal description represents a linear function or not. Correct me if I'm wrong on any of these!! 1. Jova walks quickly for 25 minutes then she rests for 5 minutes before continuing on for another 10 minutes. …
  9. Math

    Determine whether each verbal description represents a linear function or not. Correct me if I'm wrong on any of these!! 6.The price for x pounds of cheese at $6.99 per pound (LINEAR FUNCTION) 7. A car accelerating on the highway to …
  10. MATH

    Let f(x) = m1x + b1 and g(x) = m2x + b2 be two linear functions. Answer the following, noting that answers may depend on the the ms and bs. a. Is f (x) + g(x) a linear function of x?

More Similar Questions