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Calculus

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Determine the equations of the following
lines:
(a) having slope ¡1 and passing through (0; 2)
(b) parallel to y=2x-1 and passing through (¡2; 0)
(c) passing through (1; 0) and (¡1; 3)
(d) with x-intercept 6 and y-intercept 3.

  • Calculus - ,

    I have no clue where to begin.

  • Calculus - ,

    y-y1=m(x-x1)+b
    where m=slope and b=y-intercept

    (a)m=1, x1=0, y1=2

    (b)since it's parallel, we know that the slopes are equal; m=2

    (c)m=(y1-y2)/(x1-x2)
    y-y1=m(x-x1)+b

    (d)since x-intercept is equal to 6, we know (6, 0). since y-intercept is equal to 3, we know (0,3).
    Find the slope: m=(y1-y2)/(x1-x2)
    Plug into slope and one of the two coordinates: y-y1=m(x-x1)+b

  • Calculus - ,

    Thanks so much helps a lot.

  • Calculus - ,

    Preston, check if the slope shouldn't be
    "-1" in
    "(a) having slope ¡1 and passing through (0; 2) "
    Your computer seems to have a problem getting the negative sign.

  • Calculus - ,

    yea it is having trouble. thanks again. i am just stuck on my other one now

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