Answer:
x = -21.83 or (-21.83, 0)
Step-by-step explanation:
Use the given points to find the slope of the line.
![m=\frac{y2 - y1}{x2 - x1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D)
(-9, -7) (13, -19)
![m=\frac{-19-(-7)}{13 - (-9)} = \frac{-12}{22} = -\frac{6}{11}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-19-%28-7%29%7D%7B13%20-%20%28-9%29%7D%20%3D%20%5Cfrac%7B-12%7D%7B22%7D%20%3D%20-%5Cfrac%7B6%7D%7B11%7D)
Use the slope and one of the given points to solve the point-slope formula
![y - y=m(x-x)](https://tex.z-dn.net/?f=y%20-%20y%3Dm%28x-x%29)
![y-(-7)=-\frac{6}{11} (x-(-9))](https://tex.z-dn.net/?f=y-%28-7%29%3D-%5Cfrac%7B6%7D%7B11%7D%20%28x-%28-9%29%29)
![y+7=-\frac{6}{11} x-\frac{54}{11}](https://tex.z-dn.net/?f=y%2B7%3D-%5Cfrac%7B6%7D%7B11%7D%20x-%5Cfrac%7B54%7D%7B11%7D)
![y=-\frac{6}{11} x-\frac{131}{11}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B6%7D%7B11%7D%20x-%5Cfrac%7B131%7D%7B11%7D)
Since you are looking for the x-intercept, set y=0 and solve for x
![0=-\frac{6}{11}x - \frac{131}{11}](https://tex.z-dn.net/?f=0%3D-%5Cfrac%7B6%7D%7B11%7Dx%20-%20%5Cfrac%7B131%7D%7B11%7D)
![\frac{131}{11} =-\frac{6}{11} x](https://tex.z-dn.net/?f=%5Cfrac%7B131%7D%7B11%7D%20%3D-%5Cfrac%7B6%7D%7B11%7D%20x)
![-21.83 = x](https://tex.z-dn.net/?f=-21.83%20%3D%20x)
Solution
Find the y-intercept for following equation:
![f(x)=-(x+1)^2](https://tex.z-dn.net/?f=f%28x%29%3D-%28x%2B1%29%5E2)
Using the slope equation formular:
![\begin{gathered} y=mx+c \\ f(x)=-(x+1)^2 \\ f(x)=-x^2-2x-1 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3Dmx%2Bc%20%5C%5C%20f%28x%29%3D-%28x%2B1%29%5E2%20%5C%5C%20f%28x%29%3D-x%5E2-2x-1%20%5Cend%7Bgathered%7D)
The value of y when x = 0
![\begin{gathered} f(0)=-0^2-2(0)-1 \\ y=-1 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%280%29%3D-0%5E2-2%280%29-1%20%5C%5C%20y%3D-1%20%5Cend%7Bgathered%7D)
Hence the answer is - 1
Answer:
y-intercept= (0, 0.4)
x-intercept = (0.3, 0)
Step-by-step explanation:
The intercept is where the line crosses the axis, and a coordinate is written out as, (x,y).
With this knowledge in mind, for the y-intercept, the x coordinate would be 0, and the y coordinate would be 0.4, which is where it crosses the y axis. This would make the y-intercept (0, 0.4).
For the x-intercept, the y coordinate would be 0, and the x coordinate would be where the line crosses the axis, making it 0.3. With these numbers and coordinates in mind, the coordinate for where the line intercept the x axis is (0.3, 0).
Answer:
Sorry if I'm wrong but I'm leaning towards answer D.