Solution - Properties of a straight line

Rearrange:

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

                     z+g-(50)=0 

Step  1  :

Equation of a Straight Line

 1.1     Solve   z+g-50  = 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  z+g-50  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when z = 0 the value of g is 50/1 so this line "cuts" the g axis at g=50.00000

  g-intercept = 50/1  = 50.00000 

Calculate the X-Intercept :

When g = 0 the value of z is 50/1 Our line therefore "cuts" the z axis at z=50.00000

  z-intercept = 50/1  = 50.00000 

Calculate the Slope :

Slope is defined as the change in g divided by the change in z. We note that for z=0, the value of g is 50.000 and for z=2.000, the value of g is 48.000. So, for a change of 2.000 in z (The change in z is sometimes referred to as "RUN") we get a change of 48.000 - 50.000 = -2.000 in g. (The change in g is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

    Slope     = -2.000/2.000 = -1.000 

Geometric figure: Straight Line

1.   Slope = -2.000/2.000 = -1.000
2.   z-intercept = 50/1 = 50.00000
3.   g-intercept = 50/1 = 50.00000