math

Find an equation of the line that satisfies the given conditions.
through (2, 4) perpendicular to
x − 4y + 7 = 0

I know that you would set it up as
-4y = -x - 7, but would you divide the 4 to get slope = (1/4)x, which would make the perpendicular slope 4?

  1. 👍 0
  2. 👎 0
  3. 👁 129
  1. Slopes of perpendicular lines are negative reciprocals of each other. One is + , the other is - .

    Here is a little trick for perpendicular lines
    If we have some line
    Ax + By + C = 0

    then the line
    Bx -Ay + k = 0 is perpendicular, that is just switch the coefficients and make the sign opposite. The constant will probably be different.

    So for yours, the new equation must be
    4x + y + k = 0
    plug in the given point
    4(2) + 4 + k = 0
    k = -12

    4x + y - 12 = 0

    now wasn't that easy ?
    Took about 3 lines.

    1. 👍 0
    2. 👎 0
    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    Find an equation of the line that satisfies the given conditions: through (2, 4), perpendicular to x − 4y + 7 = 0.

    asked by Carolyn on January 27, 2016
  2. math

    Find an equation of the line that satisfies the given conditions. Through (−7, −12); perpendicular to the line passing through (−4, 0) and (0, −2)

    asked by alex on September 7, 2014
  3. Math

    Write the equation of the line that satisfies the given conditions. Express the final equation in standard form. Contains the point (-8, 5) and is perpendicular to the line 2x − y = 4

    asked by John on October 26, 2017
  4. Math

    Write the equation of the line that satisfies the given conditions. Express the final equation in standard form. Contains the point (-7, 2) and is perpendicular to the line 4x − y = 4

    asked by kylee on September 30, 2015
  5. Algebra

    Find the equation of the line, in slope-intercept form, that satisfies the given conditions. The graph is perpendicular to the graph of y = 5x − 9 and passes through the point whose coordinates are (3, −1).

    asked by Kim on October 22, 2014
  6. Algebra

    Find the equation of the line, in slope-intercept form, that satisfies the given conditions. The graph is perpendicular to the graph of y=3x-1 and passes through the points whose coordinates are (4,-2). Y=______

    asked by Patricia on October 27, 2014
  7. Algebra 2

    Write an equation in slope-interept for, for the lnie that satisfies each set of conditions. 8. passes through (-2, 1), perpendicular to the line y=4x - 11 Help! not sure where to even begin.

    asked by Mandy on September 8, 2010
  8. math2

    I was solving a problem. In It r have been given that two lines are perpendicular to each other The equation of one line 2x-3y+4=0 Now i have to find the equation of another line We can find it by finding the slope of the

    asked by A GOODSTUDENT on September 14, 2016
  9. Math/ Algebra

    Find the slope-intercept equation of the line that satisfies the given conditions. Then graph the line. Contains points P=( -1,4);parallel to the line with equation 3x+y =5

    asked by M on May 26, 2013
  10. Algebra

    Find an equation of the line that satisfies the given conditions. Through (5, 3) and (4, 7)

    asked by Kim on October 22, 2014

More Similar Questions