Ask questions and get helpful answers.

In the xy-plane, line l passes through the origin and is perpendicular to the line 4x+y=k, where k is a constant. If the two lines intersect at the point (t,t+1), what is the value of t?

I tried drawing a picture of the problem described above, but I don't understand what I need to do to solve it.

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
2 answers
  1. y = m x + b
    y = -4 x + k
    slope, m = -4
    so
    slope of perpendicular = -1/-4 = .25
    so form of line two is
    y = .25 x + b but b = 0 because through (0,0)
    then
    both go through (t, t+1)
    line 1
    t+1 = -4 t + k so 5 t = k-1
    line 2
    t+1 = .25 t so .75 t = - 1
    t = -1/.75 = - 1 1/3

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. Thank you for your help. I have one question. How did you get .75 from t+1?

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Answer this Question

Similar Questions

  1. Algebra

    Line $l_1$ represents the graph of $3x + 4y = -14$. Line $l_2$ passes through the point $(-5,7)$, and is perpendicular to line $l_1$. If line $l_2$ represents the graph of $y=mx +b$, then find $m+b$.

  2. Analytic Geometry

    A line Q has an equation of x+5y+5=0. Find the equation of the line that is "perpendicular" to Q an passes through (3,1). Find the equation of the line that is "parallel" to Q and passes to through (3,1). Find the equation of the line that passes through

  3. Math(check)

    1)Find the range of the relation [(-1,4)},(2,5),(3,5)}.Then determine whether the relation is a funtion. 4,5,5 is the range 4,5 is a function 2)Find f(-1),if f(x)= x^2-6x/x+2 (-1)^2-6(-1)/-1+2 1+6/-1+2 7/1 =7 3)Find f(a),if f(t)= 2t^2-t-2. 2(a)^2-a-2

  4. Math

    a line RS is perpendicular to plane p at R. If T is a second point not on. Can RT be perpendicular to plane P? Lines AB and LM are each perpendicular to plane P. Are AB and LM coplanar? Plan P is perpendicular to AB at B. Plane Q intersects AB at P. Can Q

  5. Algebra 1 (Reiny or Kuai)

    1. Show that ABCD is a trapezoid. (A: (-2, 5); B: (4, 5); C: (6,2); D: (2, -1)). 2. Write an equation in slope-intercept form for the line that passes through (5,0) and is perpendicular to the line given by y = -5/2x + 6.

  6. geometry

    What is the equation that is perpendicular to the line y=2x-3 and passes through the point (-6,5)? Show all of your work. y = 2x + 17 y = 1/2x + 8 y = -2x - 7 y = -1/2x + 2

  7. geometry

    What is the equation of the line that passes through the given point and is perpendicular to the given line? Point: (1,1) Line: y=15x+45 1.y=−5x+6 2.y=−5x+45 3.y=15x−15 4.y=−5x−54

  8. geometry

    Use the equation and given point to answer the questions below. The equation of line a is y=12x−1, and it passes through point (6,2). Line b is perpendicular to line a, and it passes through point (−6,2). A: What is the slope of line b? B: What is the

  9. Math (Calculus)

    Find the positive value of the parameter t corresponding to a point on the curve parametrized by {x= t^2 +3 ; y=t^2+t for which the tangent line passes through the origin. I tried with 2t+3 and 2t+1 but it isn't successful

  10. Algebra

    line l and and line k are perpendicular. line l has a slope of 3. line k contains the points (5,8) and (2, y). what is the value of y?

Still need help?

You can ask a new question or browse existing questions.