Step-by-step explanation:
![{x}^{2} - 8x + 15 = 0 \\ (x - 3)(x - 5) = 0 \\ x = 3 \: or \: x = 5](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%208x%20%2B%2015%20%3D%200%20%5C%5C%20%28x%20-%203%29%28x%20-%205%29%20%3D%200%20%5C%5C%20x%20%3D%203%20%5C%3A%20or%20%5C%3A%20x%20%3D%205)
Answer:
y = -2x + 9
y= -1x + 10
Step-by-step explanation:
There is a way that you can figure it out but it’s complicated use desmos it makes it easy
Given:
The graph of a line.
To find:
The point-slope form of the given line.
Solution:
From the given graph it is clear that the line passes through the point (1,5) and (0,-1). So, the slope of the line is:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![m=\dfrac{-1-5}{0-1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-1-5%7D%7B0-1%7D)
![m=\dfrac{-6}{-1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-6%7D%7B-1%7D)
![m=6](https://tex.z-dn.net/?f=m%3D6)
The slope of the line is 6 and it passes through the point (1,5). So, the point slope form of the line is:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
![y-5=6(x-1)](https://tex.z-dn.net/?f=y-5%3D6%28x-1%29)
Therefore, the point-slope form is
, slope is 6 and the point is (1,5).
Answer:
Step-by-step explanation: