For the answer to the question, what is the slope AB if l<span>ine AB contains points A(4, 5) and B(9, 7)?
The</span> answer <span>to </span>this question is 2/5.
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Answer:
518
i don't know if this needs much explaining.
Answer:
The coordinates of point C are (8,8.5)
Step-by-step explanation:
The picture of the question in the attached figure
Let
----> coordinates of point C
we have that
The horizontal distance AB is equal to
![AB_x=10-2=8\ units](https://tex.z-dn.net/?f=AB_x%3D10-2%3D8%5C%20units)
The vertical distance AB is equal to
![AB_y=10-4=6\ units](https://tex.z-dn.net/?f=AB_y%3D10-4%3D6%5C%20units)
Find the horizontal coordinate of point C
we know that
![\frac{AC}{CB}=\frac{3}{1}](https://tex.z-dn.net/?f=%5Cfrac%7BAC%7D%7BCB%7D%3D%5Cfrac%7B3%7D%7B1%7D)
so
![\frac{AC_x}{CB_x}=\frac{3}{1}](https://tex.z-dn.net/?f=%5Cfrac%7BAC_x%7D%7BCB_x%7D%3D%5Cfrac%7B3%7D%7B1%7D)
----> equation A
----> equation B
substitute equation A in equation B
![3CB_x+CB_x=8](https://tex.z-dn.net/?f=3CB_x%2BCB_x%3D8)
![4CB_x=8\\CB_x=2](https://tex.z-dn.net/?f=4CB_x%3D8%5C%5CCB_x%3D2)
![AC_x=3(2)=6](https://tex.z-dn.net/?f=AC_x%3D3%282%29%3D6)
so
The x-coordinate of point C is equal to the x-coordinate of point A plus the horizontal distance between the point A and point C
![C_x=A_x+AC_x=2+6=8](https://tex.z-dn.net/?f=C_x%3DA_x%2BAC_x%3D2%2B6%3D8)
Find the vertical coordinate of point C
we know that
![\frac{AC}{CB}=\frac{3}{1}](https://tex.z-dn.net/?f=%5Cfrac%7BAC%7D%7BCB%7D%3D%5Cfrac%7B3%7D%7B1%7D)
so
![\frac{AC_y}{CB_y}=\frac{3}{1}](https://tex.z-dn.net/?f=%5Cfrac%7BAC_y%7D%7BCB_y%7D%3D%5Cfrac%7B3%7D%7B1%7D)
----> equation A
----> equation B
substitute equation A in equation B
![3CB_y+CB_y=6](https://tex.z-dn.net/?f=3CB_y%2BCB_y%3D6)
![4CB_y=6\\CB_y=1.5](https://tex.z-dn.net/?f=4CB_y%3D6%5C%5CCB_y%3D1.5)
![AC_y=3(1.5)=4.5](https://tex.z-dn.net/?f=AC_y%3D3%281.5%29%3D4.5)
so
The y-coordinate of point C is equal to the y-coordinate of point A plus the vertical distance between the point A and point C
![C_y=A_y+AC_y=4+4.5=8.5](https://tex.z-dn.net/?f=C_y%3DA_y%2BAC_y%3D4%2B4.5%3D8.5)
therefore
The coordinates of point C are (8,8.5)
<span>-6/11 ×3/4
=> -6*3/11*4
=> -18/44
=> -9/22
Hope it helps !!!</span>
2/5 | 52% | 0.57 is the answer