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slava [35]
3 years ago
15

X=4y-2solve for y show work please​

Mathematics
2 answers:
Vesna [10]3 years ago
8 0

Answer:

y = 1/4x - 1/2

Step-by-step explanation:

-4y = -x + 2 : Divide both sides by -4

y = 1/4x - 2/4 : Reduce to lowest terms

y = 1/4x - 1/2

Irina18 [472]3 years ago
7 0

Answer:

  • Slope = 0.500/2.000 = 0.250
  •  x-intercept = -2/1 = -2.00000
  •  y-intercept = 2/4 = 1/2 = 0.50000

Step-by-step explanation:

<u>Step 1:</u>

  • Solve   x-4y+2  = 0
  • "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-4y+2  = 0 and calculate its properties

<u>Calculate the Y-intercept:</u>

  • Notice that when x = 0 the value of y is 1/2 so this line "cuts" the y axis at y= 0.50000
  •  y-intercept = 2/4 = 1/2  =  0.50000

<u>Calculate the X-intercept:</u>

  • When y = 0 the value of x is -2/1 Our line therefore "cuts" the x axis at x=-2.00000
  •  x-intercept = -2/1  = -2.00000

<u>Calculate the slope:</u>

  • 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 0.500 and for x=2.000, the value of y is 1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.000 - 0.500 = 0.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
  •    Slope     =  0.500/2.000 =  0.250

<u>Solutions:</u>

  •  Slope = 0.500/2.000 = 0.250
  •  x-intercept = -2/1 = -2.00000
  •  y-intercept = 2/4 = 1/2 = 0.50000

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