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3 May, 11:54

What is the x and y intercept of this equation 12x+4y=24

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Answers (2)
  1. 3 May, 12:30
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    y = 6, x = 2
  2. 3 May, 14:00
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    Answer:y = 6, x = 2

    Step-by-step explanation:Geometric figure: Straight Line

    Slope = - 6.000/2.000 = - 3.000

    x-intercept = 6/3 = 2

    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:

    12*x+4*y - (24) = 0

    Step by step solution:

    Step 1:

    Pulling out like terms:

    1.1 Pull out like factors:

    12x + 4y - 24 = 4 • (3x + y - 6)

    Equation at the end of step 1:

    Step 2:

    Equations which are never true:

    2.1 Solve : 4 = 0

    This equation has no solution.

    A a non-zero constant never equals zero.

    Equation of a Straight Line

    2.2 Solve 3x+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 3x+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 2/1 Our line therefore "cuts" the x axis at x = 2.00000

    x-intercept = 6/3 = 2

    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 - 0.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of - 0.000 - 6.000 = - 6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

    Slope = - 6.000/2.000 = - 3.000

    Geometric figure: Straight Line

    Slope = - 6.000/2.000 = - 3.000

    x-intercept = 6/3 = 2

    y-intercept = 6/1 = 6.00000
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