calculus

find the point on the line 6x+7y-5=0 closest to (2,2)

  1. 👍
  2. 👎
  3. 👁
  1. 6x+7y-5=0
    +5 +5
    6x+7y=5
    -6x -6x
    7y=5-6x
    /7 /7
    y=(5-6x)/7

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    Find the point on the graph of y = x^2 + 1 that’s closest to the point 8, 1.5. Hint: Remember the distance formula.

  2. math

    Let A = (0,0,0), B = (9,8,12), and C = (6,2,3). Find coordinates for the point on line AB that is closest to C.

  3. Math

    In the diagram below of triangle ACD, E is a point on line AD and B is a point on line AC, such that line EB is parallel to line DC. If AE = 3, ED = 6, and DC = 15, find the length of line EB.

  4. Calculus

    Find the point on the line 6x + y = 9 that is closest to the point (-3,1). Solution: We need to minimize the function d = sqrt((x − (−3))^2 + (y − 1)^2) = sqrt((x + 3)^2 + (y − 1) ^2 ) and, since the point (x, y) lies on

  1. Algebra

    A sine function has the following key features: Frequency = 14π Amplitude = 2 Mid-line: y = 2 y-intercept: (0, 2) The function is not a reflection of its parent function over the x-axis. The first point must be on the mid-line

  2. Algebra

    Find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. a. line 3x+y=5, point (-1,2) b. line y=3x+1, point (6,1)

  3. math

    Find the point P on the graph of the function y=sqrt{x} closest to the point (10,0)

  4. MATH

    Let A = (0,0,0), B = (9,8,12), and C = (6,2,3). Find coordinates for the point on line AB that is closest to C.

  1. calculus

    1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))? 2. Find the derivative of f(x) = |x + 2| at the point (1, 3) 3. Find f '(x) for f(x) = -2x3 + 3x2 - x + 15. 4.

  2. Linear Algebra

    Let L be the line with parametric equations x = 2+3t y = 3−2t z = 2+t Find the shortest distance d from the point P0=(−5, 1, −4) to L, and the point Q on L that is closest to P0. Use the square root symbol '√' where needed

  3. Algebra

    A sine function has the following key features: Period = π Amplitude = 2 Mid-line: y=−2 y-intercept: (0, -2) The function is a reflection of its parent function over the x-axis. The first point must be on the mid-line and the

  4. calculus

    To find the equation of a line, we need the slope of the line and a point on the line. Since we are requested to find the equation of the tangent line at the point (64, 8), we know that (64, 8) is a point on the line. So we just

You can view more similar questions or ask a new question.