Slope = 0.143/2.000 = 0.071 a-intercept = 0/1 = 0.00000 h-intercept = 0/-14 = -0.00000Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
a-(1/2*h*(20+8))=0
Step by step solution :
Step 1 : 1
Simplify —
2
Equation at the end of step 1 : 1
a - ((— • h) • 28) = 0
2
Step 2 :Equation at the end of step 2 : a - 14h = 0
Step 3 :Equation of a Straight Line
3.1 Solve a-14h = 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 a-14h = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when a = 0 the value of h is 0/-14 so this line "cuts" the h axis at h=-0.00000
h-intercept = 0/-14 = -0.00000 Calculate the X-Intercept :
When h = 0 the value of a is 0/1 Our line therefore "cuts" the a axis at a= 0.00000
a-intercept = 0/1 = 0.00000 Calculate the Slope :
Slope is defined as the change in h divided by the change in a. We note that for a=0, the value of h is 0.000 and for a=2.000, the value of h is 0.143. So, for a change of 2.000 in a (The change in a is sometimes referred to as "RUN") we get a change of 0.143 - 0.000 = 0.143 in h. (The change in h is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 0.143/2.000 = 0.071 Geometric figure: Straight Line
Slope = 0.143/2.000 = 0.071 a-intercept = 0/1 = 0.00000 h-intercept = 0/-14 = -0.00000