First, we need to find the slope:
m=rise/run OR
![m= \frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
m=(2+2)/(-6-2)
m=4/-8
m=-1/2
second we need to find the equation for the line using point-slope form:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
y-(-2)=-(1/2)(x-2)
![y+2= -\frac{1}{2}x+1](https://tex.z-dn.net/?f=y%2B2%3D%20-%5Cfrac%7B1%7D%7B2%7Dx%2B1)
![y=- \frac{1}{2}x-1](https://tex.z-dn.net/?f=y%3D-%20%5Cfrac%7B1%7D%7B2%7Dx-1)
to find "a" we plug in the given y value and solve for x (in this case x=a):
![-4=- \frac{1}{2}x-1](https://tex.z-dn.net/?f=-4%3D-%20%5Cfrac%7B1%7D%7B2%7Dx-1)
![-3=- \frac{1}{2} x](https://tex.z-dn.net/?f=-3%3D-%20%5Cfrac%7B1%7D%7B2%7D%20x)
![-3(-2)=(- \frac{1}{2} x)( -2)](https://tex.z-dn.net/?f=-3%28-2%29%3D%28-%20%20%5Cfrac%7B1%7D%7B2%7D%20x%29%28%20-2%29)
![6=x](https://tex.z-dn.net/?f=6%3Dx)
so, a=6 and the point becomes (6,-4)
Answer:
B. Yes, because it does not have a constant rate of change.
Step-by-step explanation:
For a function to be a function (or linear), the rate of change MUST be proportional. In this data set, the numbers do not seem proportional, which makes it non-linear.
Answer: y = -1/4x + 2
explanation: line passes through y axis on 2, so 2 is your y-intercept. rise/run is ur slope, which is -1/4 .
Answer:
Triangle KLM is congruent to triangle ONM.
Step-by-step explanation:
All three angles of triangles are equal, that is both triangles are congruent.
Please share the figure to show the numbering of angle you are using. So that I can describe you which angle is equal to which one.
Answer:
60 degrees.
Step-by-step explanation:
A full rotation is 360 degrees.
So 1/6 is 360 * 1/6 = 60 degrees.