math

the straight L has gradient 3 and passes through the point A(-6,4).
a) find an equation for L in the form y=mx+c
b) straight line R has the equation in the form of -7y+x+14=0. Given that R crosses the y-axis at the point B and intersects L at the point C, find the coordinates of B and C

  1. 👍
  2. 👎
  3. 👁
  1. equation for L:
    y = 3x + b, but (-6,4) lies on it, so
    4 = 3(-6) + b
    b = 22
    equation: y = 3x + 22

    y-intercept of x-7y+14=0
    let x = 0
    -7y = -14
    y = 2
    so B is (0,2)

    intersection of L and R:
    sub L into R
    x - 7y = -14
    x - (3x+22) = -14
    -2x = 8
    x = -4 , then y = -12+22=10

    so point C is (10,-4)

    check my arithmetic.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra review!

    it says write the equation of the vertical line that passes through the point (7,-3). what do i need to start it off? find the equation for the line with undefined slope and passing through the point (-1,-2). what do i need to

  2. Maths

    Line L1 has equation 2x -3y+12=0 Gradient of L1 is 2/3x The line L1 crosses the x axis at the point A and the y axis at the point B. The line L2 is perpendicular to L1 and passes through B. A) find and equation of L2 The line L2

  3. Math

    *The straight line, L1, has an equation y= -2x+5 1.) Write down the gradient of L1 2.) Line 2, is perpendicular to L1, and passes through the point (4,5). a. Write down the gradient of L2 b. Find the equation of L2. 3.) Line 2, is

  4. Math

    The staright line L passes through the points A(-1,4) and B(5,8). a. Calculate the gradient of L b. Find the equation of L c. The Line L also passes through the point P(8,y). Find the value of y.

  1. 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)=

  2. Maths

    a) A curve is defined by the following parametric equations x= 3t/t^2 +1 , y=1/t^2 +1 (i) Find an expression, in terms of t for the gradient of the curve. (ii) Determine the value of the gradient at the point where t=0

  3. geometry

    ABCD is a rectangle. A is the point (0,1). c is the point (0,6) the equation of the straight line through A and B is y=2x+1. (a)Find the equation of the straight line through D and C

  4. maths

    the straight line l1 has equation y=2x+3 the straight line l2 is parallel to l1 l2 passes through the point (3,2) find an equation for l2

  1. 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

  2. Maths

    Point P in the curve y=x^3 has coordinates (3,27) and PQ is the tangent to the curve at P.Point Q touches the x-axis.Find the area of the region enclosed between the curve, PQ and the x-axis. My answer: I used differenttiation to

  3. calculus

    A curve passes through the point (1,-11) and it's gradient at any point is ax^2 + b, where a and b are constants. The tangent to the curve at the point (2,-16) is parallel to the x-axis. Find i) the values of a and b ii) the

  4. Math

    The equation of the line R1 is 2x +y-8=0. The line R2 is perpendicular to R1. a. Calculate the gradient of R2. b. The point of intersection of R1 and R2 is (4,k). Find. 1. the value of k 2. the equation of R2

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