Step-by-step explanation:
Let ![P_1(-1, -8)\:\text{and}\:P_2(-4, -9)](https://tex.z-dn.net/?f=P_1%28-1%2C%20-8%29%5C%3A%5Ctext%7Band%7D%5C%3AP_2%28-4%2C%20-9%29)
The slope of the line through these two points is
![m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{(-9 + 8)}{(-4 + 1)} = \dfrac{1}{3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cdfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20%3D%20%5Cdfrac%7B%28-9%20%2B%208%29%7D%7B%28-4%20%2B%201%29%7D%20%3D%20%5Cdfrac%7B1%7D%7B3%7D)
So the slope-intercept form of the line passing through the two points is
![y = mx + b = \frac{1}{3}x + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx%20%2B%20b)
To find b, we use either point into our equation. Let's use (-1, -8):
![-8 = \frac{1}{3}(-1) + b \Rightarrow b = -\dfrac{23}{3}](https://tex.z-dn.net/?f=-8%20%3D%20%5Cfrac%7B1%7D%7B3%7D%28-1%29%20%2B%20b%20%5CRightarrow%20b%20%3D%20-%5Cdfrac%7B23%7D%7B3%7D)
Therefore, the slope-intercept form of the equation for the line is
![y = \dfrac{1}{3}x - \dfrac{23}{3}](https://tex.z-dn.net/?f=y%20%3D%20%5Cdfrac%7B1%7D%7B3%7Dx%20-%20%5Cdfrac%7B23%7D%7B3%7D)
The standard form of the equation can be written as
![x + 3y + 23 = 0](https://tex.z-dn.net/?f=x%20%2B%203y%20%2B%2023%20%3D%200)
The rule of reflection is ry-axis (x , y) → (-x , y)
Which point is an x-intercept of the quadratic function
f(x) = (x + 6)(x - 3)? THE ANSWER IS D.
What do u need help with ????
Answer:
always true
Step-by-step explanation:
complement equals that angle plus another one adds to 90. If you know that it's less than 90 degrees, then you subtract it from 90 to get the other angle which is the complement. Hope this helps!