Question

X=4y-2
solve for y show work please​

Answer 1

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

Explanation:

Step 1:

• 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

Calculate the Y-intercept:

• 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

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 = -2/1 = -2.00000

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 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

Solutions:

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

Answer 2

y = 1/4x - 1/2

Explanation:

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

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

y = 1/4x - 1/2