A box of snack crackers is in the shape of a triangular prism. What is the surface area of the box?

 Slope = 0.500/2.000 = 0.250

 x-intercept = 28/-1 = -28.00000

 y-intercept = 28/4 = 7

Rearrange:

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

                    -x+4*y-28-(0*f*o*r*y)=0

Step by step solution :

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  -x + 4y - 28  =   -1 • (x - 4y + 28)

Equation at the end of step  1  :

Step  2  :

Equation of a Straight Line

2.1     Solve   -x+4y-28  = 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+4y-28  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/1 so this line "cuts" the y axis at y= 7.00000

 y-intercept = 28/4  =  7

Calculate the X-Intercept :

When y = 0 the value of x is 28/-1 Our line therefore "cuts" the x axis at x=-28.00000

 x-intercept = 28/-1  = -28.00000

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 7.000 and for x=2.000, the value of y is 7.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 7.500 - 7.000 = 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

Geometric figure: Straight Line

 Slope = 0.500/2.000 = 0.250

 x-intercept = 28/-1 = -28.00000

 y-intercept = 28/4 = 7

Step-by-step explanation: