Let's write T for Teagan's score and E for Emma's score.
Also, let's write an equation
E = 2T + 4
E = 3
2T + 4 = 3
subtract 4 from both sides
2T = -1
divide both sides by 2
T = -1/2
To see of this is correct:
2T + 4 = 3
2(-1/2) + 4 =?= 3
-1 + 4 =?= 3
3 = 3
Hope this helps
The answer is 24 rides! I hope this helps!
Answer:
A
Step-by-step explanation:
If you multiply the coefficient matrix by the variable matrix, you get the part of the system of the equations left of the equal sign.
Choice A gives you the correct answer.
Neighbor 1 tends to use fewer kilowatt hours each month.
Neighbor 2 had greater variability in the number of kilowatt hours used per month.
the median value for neighbor 2 is 75 kilowatt hours greater than the median value for neighbor 1.
Given:
There are given that the two points are:
![(-4,5)\text{ and }(2,1)](https://tex.z-dn.net/?f=%28-4%2C5%29%5Ctext%7B%20and%20%7D%282%2C1%29)
Explanation:
To find the equation, first, we need to find the slope of the line from the given points.
So,
From the formula of slope:
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Where,
![x_1=-4,y_1=5,x_2=2,y_2=1](https://tex.z-dn.net/?f=x_1%3D-4%2Cy_1%3D5%2Cx_2%3D2%2Cy_2%3D1)
Then,
Put all the values into the above formula:
So,
![\begin{gathered} m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ m=\frac{1-5}{2+4} \\ m=-\frac{4}{6} \\ m=-\frac{2}{3} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20m%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%20%5C%5C%20m%3D%5Cfrac%7B1-5%7D%7B2%2B4%7D%20%5C%5C%20m%3D-%5Cfrac%7B4%7D%7B6%7D%20%5C%5C%20m%3D-%5Cfrac%7B2%7D%7B3%7D%20%5Cend%7Bgathered%7D)
Now,
From the formula of point-slope form:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
Then,
![\begin{gathered} y-y_{1}=m(x-x_{1}) \\ y-5=-\frac{2}{3}(x-(-4)) \\ y-5=-\frac{2}{3}(x+4) \\ 3y-15=-2(x+4) \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y-y_%7B1%7D%3Dm%28x-x_%7B1%7D%29%20%5C%5C%20y-5%3D-%5Cfrac%7B2%7D%7B3%7D%28x-%28-4%29%29%20%5C%5C%20y-5%3D-%5Cfrac%7B2%7D%7B3%7D%28x%2B4%29%20%5C%5C%203y-15%3D-2%28x%2B4%29%20%5Cend%7Bgathered%7D)
Then,
![\begin{gathered} 3y-15=-2(x+4) \\ 3y-15=-2x-8 \\ 3y-15+2x+8=0 \\ 3y+2x-7=0 \\ 3y=-2x+7 \\ y=-\frac{2}{3}x+\frac{7}{3} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%203y-15%3D-2%28x%2B4%29%20%5C%5C%203y-15%3D-2x-8%20%5C%5C%203y-15%2B2x%2B8%3D0%20%5C%5C%203y%2B2x-7%3D0%20%5C%5C%203y%3D-2x%2B7%20%5C%5C%20y%3D-%5Cfrac%7B2%7D%7B3%7Dx%2B%5Cfrac%7B7%7D%7B3%7D%20%5Cend%7Bgathered%7D)
Final answer:
Hence, the equation of line is shown below: