3p + 4b = 375
what is p and what is b

93.75000

Step-by-step explanation

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

                    3*p+4*b-(375)=0  

STEP

1

:

Equation of a Straight Line

1.1     Solve   3p+4b-375  = 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  3p+4b-375  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when p = 0 the value of b is 375/4 so this line "cuts" the b axis at b=93.75000

 b-intercept = 375/4  = 93.75000  

Calculate the X-Intercept :

When b = 0 the value of p is 125/1 Our line therefore "cuts" the p axis at p=125.00000

 p-intercept = 375/3  =  125  

Calculate the Slope :

Slope is defined as the change in b divided by the change in p. We note that for p=0, the value of b is 93.750 and for p=2.000, the value of b is 92.250. So, for a change of 2.000 in p (The change in p is sometimes referred to as "RUN") we get a change of 92.250 - 93.750 = -1.500 in b. (The change in b is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -1.500/2.000 = -0.750

-2 is the right