3a-5=-4b+1
write as a formula for h(a) in terms of a

Slope = -1.500/2.000 = -0.750

a-intercept = 6/3 = 2

b-intercept = 6/4 = 3/2 = 1.50000

Step-by-step explanation:

Step  1  :

Equation of a Straight Line

1.1     Solve   3a+4b-6  = 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  3a+4b-6  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when a = 0 the value of b is 3/2 so this line "cuts" the b axis at b= 1.50000

 b-intercept = 6/4 = 3/2  =  1.50000

Calculate the X-Intercept :

When b = 0 the value of a is 2/1 Our line therefore "cuts" the a axis at a= 2.00000

 a-intercept = 6/3  =  2

Calculate the Slope :

Slope is defined as the change in b divided by the change in a. We note that for a=0, the value of b is 1.500 and for a=2.000, the value of b is -0.000. So, for a change of 2.000 in a (The change in a is sometimes referred to as "RUN") we get a change of -0.000 - 1.500 = -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

Geometric figure: Straight Line

 Slope = -1.500/2.000 = -0.750

 a-intercept = 6/3 = 2

 b-intercept = 6/4 = 3/2 = 1.50000

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452,489 to the nearest thousand is 452,000

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step-by-step explanation: