This solution deals with the properties of a straight line.
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Step by Step Solution
Rearrange:Rearrange the equation by subtracting what is khổng lồ the right of the equal sign from both sides of the equation : 1-(a-b)*2-((1+a-b))=0
Step 1 :Equation at the kết thúc of step 1 :
(1 - 2 • (a - b)) - (a - b + 1) = 0
Step 2 :
Step 3 :Pulling out lượt thích terms :3.1 Pull out like factors:3b - 3a=-3•(a - b)Equation at the end of step 3 :
-3 • (a - b) = 0
Step 4 :Equations which are never true: 4.1Solve:-3=0This equation has no solution. A a non-zero constant never equals zero.
Equation of a Straight Line 4.2Solvea-b=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 và "x" the horizontal axis.In this formula :y tells us how far up the line goesx tells us how far alongm is the Slope or Gradient i.e. How steep the line isb is the Y-intercept i.e. Where the line crosses the Y axisThe X và Y intercepts & the Slope are called the line properties. We shall now graph the line a-b = 0 & calculate its propertiesGraph of a Straight Line :
Calculate the Y-Intercept :Notice that when a = 0 the value of b is 0/-1 so this line "cuts" the b axis at b=-0.00000
b-intercept = 0/-1 = -0.00000 Calculate the X-Intercept :When b = 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 b divided by the change in a. We lưu ý that for a=0, the value of b is 0.000 and for a=2.000, the value of b is 2.000.
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So, for a change of 2000 in a (The change in a is sometimes referred to as "RUN") we get a change of 2.000 - 0.000 = 2 ngàn in b. (The change in b is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1