the solution of the equations X + Y = 6 and X-Y=2 is
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Equation of a Straight Line
Step1:- Solve x-y-2 = 0
"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 x-y-2 = 0 and calculate its properties
Notice that when x = 0 the value of y is 2/-1 so this line "cuts" the y axis at y=-2.00000
y-intercept = 2/-1 = -2.00000 Calculate the X-Intercept :When y = 0 the value of x is 2/1 Our line therefore "cuts" the x axis at x= 2.00000
x-intercept = 2/1 = 2.00000 Calculate the Slope :Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.000 and for x=2.000, the value of y is 0.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 0.000 - (-2.000) = 2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1
Geometric figure: Straight Line 1.Slope = 1
2.x-intercept = 2/1 = 2.00000
3. y-intercept = 2/-1 = -2.00000
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1st answer:-
Step 1 :Equation of a Straight Line
Step 1 Solve x+y-6 = 0
______________________
"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 x+y-6 = 0 and calculate its properties
Notice that when x = 0 the value of y is 6/1 so this line "cuts" the y axis at y= 6.00000
y-intercept = 6/1 = 6.00000 Calculate the X-Intercept :When y = 0 the value of x is 6/1 Our line therefore "cuts" the x axis at x= 6.00000
x-intercept = 6/1 = 6.00000 Calculate the Slope :Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 6.000 and for x=2.000, the value of y is 4.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 4.000 - 6.000 = -2.000 in y. (The change in y 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. -1.000 x-intercept = 6/1 = 6.00000
3.y-intercept = 6/1 = 6.00000
______________________Hope helped!
X - Y = 2 ·················(2)
From (1) and (2) by factorization,
2X = 8
∴X = 4
Putting the value of X in equation (1) we get
∴Y = 2