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16 April, 18:47

How to solve this problem X-Y=-6

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  1. 16 April, 18:55
    0
    X-y=-6

    Geometric figure: Straight Line

    Slope = 1

    x-intercept = - 6/1 = - 6.00000

    y-intercept = 6/1 = 6.00000

    Rearrange:

    Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:

    x-y - (-6) = 0

    Step by step solution:

    Step 1:

    Equation of a Straight Line

    1.1 Solve x-y+6 = 0

    Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

    "y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

    In this formula:

    y tells us how far up the line goes

    x tells us how far along

    m is the Slope or Gradient i. e. how steep the line is

    b is the Y-intercept i. e. where the line crosses the Y axis

    The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x-y+6 = 0 and calculate its properties

    Graph of a Straight Line:

    Calculate the Y-Intercept:

    Notice that when x = 0 the value of y is 6/1 so this line "cuts" the y axis at y = 6.00000

    y-intercept = 6/1 = 6.00000

    Calculate the X-Intercept:

    When y = 0 the value of x is - 6/1 Our line therefore "cuts" the x axis at x=-6.00000

    x-intercept = - 6/1 = - 6.00000

    Calculate the Slope:

    Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 6.000 and for x=2.000, the value of y is 8.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 8.000 - 6.000 = 2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

    Slope = 1

    Geometric figure: Straight Line

    Slope = 1

    x-intercept = - 6/1 = - 6.00000

    y-intercept = 6/1 = 6.00000

    Processing ends successfully
  2. 16 April, 18:58
    0
    Step-by-step explanation:

    do you need to graph it?
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