1.The equation is : y=1/3 x +5
2. (3,6)
Step-by-step explanation:
The equation given y= -1/3x +7 is for the second table with the values;
x y
-6 9
-3 8
0 7
3 6
The slope m from the data can be calculated as ;
m=Δy/Δx
m=8-9/-3--6
m=-1/3
y-7/x-0 = -1/3
3(y-7)=-1(x-0)
3y-21= -x
3y=-x=21
y= -1/3x +7
2.
In table 1, finding the equation given the data, first calculating m
m=Δy/Δx
m=8-7/9-6
m=1/3
Taking m=1/3 , point (0,5) and (x,y) then the equation will be;
y-5/x-0 = 1/3
3(y-5)=1(x-0)
3y-15=x
3y=x+15
The equation is : y=1/3 x +5
The solution of the two equations can be calculated as;
y= -1/3x +7
y= 1/3x +5
Adding the equations to eliminate x terms
2y=12
y=12/2 =6
⇒using value of y in equation :y=1/3 x +5
y=1/3 x +5
6=1/3 x +5
6-5= 1/3 x
1=1/3x
3*1=1/3x*3
3=x
The solution is;
x=3,y=6
solution is : (3,6)
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