Anonymous
Anonymous asked in Science & MathematicsMathematics · 3 weeks ago

Which equation represents a line parallel to the line whose equation is -2x+3y=-4 and passes through the point (1,3)? ?

11 Answers

Relevance
  • 3 weeks ago

    it can be -2x + 3y = 7

  • 3 weeks ago

    find the slope and then find your 'b':

    get the given equation into slope intercept form : y=mx + b

    -2x + 3y = -4

    3y = 2x - 4

    y = 2/3x - 4/3

    y = mx + b,

    m = 2/3, b = -4/3

    the slope is m and m is 2/3, so the slope is 2/3.

    our line has to be parallel so it needs to have the same slope as the first line, so it also needs a slope of 2/3.

    y = mx + b

    m = 2/3

    y = 2/3(x) + b

    our point is (1,3) so plug that in and find b to get the final equation:

    3 = 2/3(1) + b

    3 = 2/3 + b

    3 - 2/3 = b

    b = 2 1/3

    so in our line with slope of 2/3, our b is 2 1/3,

    y = mx + b

    m = 2/3

    b = 2 1/3

    y = 2/3x + 2 1/3

    y = 2/3x + 7/3

  • Anonymous
    3 weeks ago

    drghrth45uj45t4534

  • Como
    Lv 7
    3 weeks ago

    :-

    - 2x + 3y = - 4

    3y = 2x - 4

    y = (2/3) x - 4/3 ______equation of given line.

    Gradient is 2/3

    y - 3 = (2/3) ( x - 1 )

    y = (2/3) x + 7/3________equation of parallel line

  • How do you think about the answers? You can sign in to vote the answer.
  • sepia
    Lv 7
    3 weeks ago

    A line parallel to the line whose equation is -2x + 3y = -4

    and passes through the point (1, 3):

    -2x + 3y = 7

    or

    2x - 3y = -7

  • 3 weeks ago

    -2x+3y=-2(1)+3(3)

    -2x+3y=7 or more formally 2x-3y=-7

  • ?
    Lv 7
    3 weeks ago

    -2x+3y = -4 ⇒ y = (2/3) x - (4/3)

    The equation of the line parallel to -2x+3y = -4 and passing through (1,3) is

    y - 3 = (2/3)(x - 1)

    y = (2/3) x + 2...................ANS

    • Yas3 weeks agoReport

      forgot to distribute there

  • 3 weeks ago

    -2(1) + 3(3) = a for some a. Solve for a to find the parallel line through (1, 3).

    -2 + 9 = a

    a = 7

    -2x + 3y = 7

  • 3 weeks ago

    any parallel line

    -2x+3y = b

    plug in (1,3)

    -2(1) + 3(3) = b

    -2 + 9 = b

    b = -7

    -2x + 3y = -7

  • ted s
    Lv 7
    3 weeks ago

    - 2(1) + 3 ( 3 ) = 7....thus - 2x + 3y = 7

Still have questions? Get your answers by asking now.