Answer:
B. y = 0.097x + 11.142
Step-by-step explanation:
In order to find the best equation to descibe the housing price, we have to calculate the slope of the line first.
The equation of the line can be written as
where m is the slope and q the y-intercept.
In order to have the most accurate estimate for the slope, we use the first point and the last point, that are:
(1900, 196)
and
(2200, 225)
The slope of the line is calculated as:
So, the slope of the line is 0.097.
Therefore, the correct option is the only one having a slope of 0.097, which is:
B. y = 0.097x + 11.142
Solution:
Using Substitution Method:
-4x+7y=-5 (Equation 1)
x-3y=-5 (Equation 2)
get the value of x from Equation 2
x=3y-5 (Equation 3)
Put the value of x from Equation 3 in Equation 1
-4(3y-5)+7y=-5
-4(3y)+20+7y=-5
-12y+7y=-5-20
-5y=-25
Negative sign on both sides cancels each other
y=25/5
y=5
Putting value of y in equation 3
x=3(5)-5
x=15-5
x=10
Therefore, [x,y]=[10,5]
Using Elimination Method
-4x+7y=-5 (Equation 1)
x-3y=-5 (Equation 2)
Multiply equation 2 with -4 in order to eliminate the x term
-4(x-3y)=-5*4
-4x+12y=20 (Equation 3)
Adding Equation 1 and 3
-4x+7y=-5
-4x+12y=20
+ - = - (Change Of Sign with x and y terms)
-----------------
0x-5y = -25
-5y=-25
y=5
Substituting y’s value is Equation 1
-4x+7(5)=-5
-4x+35=-5
-4x=-40
Cancellation of negative sign on both sides
x=40/4
x=10
[x,y]=[10,5]
X=-5/6 and x=5/6 hope I could help.