Answer:
on what
Step-by-step explanation: normaly you have a button that you can have certain characters
Answer:
![y=\frac{9}{2}x+[tex]\frac{53}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B9%7D%7B2%7Dx%2B%5Btex%5D%5Cfrac%7B53%7D%7B2%7D)
![9x-2y=-53](https://tex.z-dn.net/?f=9x-2y%3D-53)
Step-by-step explanation:
The line is passing through
and
.
The equation of line in point-slope form can be obtained by using the following rule that says:
![(y-y_1)=m(x-x_1)](https://tex.z-dn.net/?f=%28y-y_1%29%3Dm%28x-x_1%29)
Lets say:
are
and
respectively.
Lets find the slope of the line:
![m=\frac{y_2-y_1}{x_2-x_1} =\frac{4-(-5)}{-5-(-7)} =\frac{4+5}{-5+7}=\frac{9}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%3D%5Cfrac%7B4-%28-5%29%7D%7B-5-%28-7%29%7D%20%3D%5Cfrac%7B4%2B5%7D%7B-5%2B7%7D%3D%5Cfrac%7B9%7D%7B2%7D)
So the slope of the line is
.
![(y-(-5))=\frac{9}{2}(x-(-7))](https://tex.z-dn.net/?f=%28y-%28-5%29%29%3D%5Cfrac%7B9%7D%7B2%7D%28x-%28-7%29%29)
![y+5=\frac{9}{2}(x+7)](https://tex.z-dn.net/?f=y%2B5%3D%5Cfrac%7B9%7D%7B2%7D%28x%2B7%29)
-5=\frac{9}{2}x+![\frac{53}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B53%7D%7B2%7D)
![y=\frac{9}{2}x+[tex]\frac{53}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B9%7D%7B2%7Dx%2B%5Btex%5D%5Cfrac%7B53%7D%7B2%7D)
So the required equation is
.
And the equation of line in standard form can be written as:
![\frac{-9}{2}x+y=[tex]\frac{53}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-9%7D%7B2%7Dx%2By%3D%5Btex%5D%5Cfrac%7B53%7D%7B2%7D)
Multiplying the equation by 2 we get:
![-9x+2y=53](https://tex.z-dn.net/?f=-9x%2B2y%3D53)
![9x-2y=-53](https://tex.z-dn.net/?f=9x-2y%3D-53)
A = -2 (reflection)
H = +3 (shifts to the right)
K = -1 (shifts downward)