Answer:
The y-intercept of the function is: b=10
Step-by-step explanation:
Given the table
x y
1 8
2 6
3 4
4 2
Taking any two points to find the slope
The slope between (1, 8) and (2, 6) is:
![\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cmathrm%7BSlope%7D%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![\left(x_1,\:y_1\right)=\left(1,\:8\right),\:\left(x_2,\:y_2\right)=\left(2,\:6\right)](https://tex.z-dn.net/?f=%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%3D%5Cleft%281%2C%5C%3A8%5Cright%29%2C%5C%3A%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3D%5Cleft%282%2C%5C%3A6%5Cright%29)
![m=\frac{6-8}{2-1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B6-8%7D%7B2-1%7D)
![m=-2](https://tex.z-dn.net/?f=m%3D-2)
We know that the slope-intercept form of the line equation is
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
where m is the slope and b is the y-intercept.
Substituting m=-2 and any point i.e. (1, 8) in the slope-intercept form of the line equation to find the y-intercept (b).
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
8 = -2(1) + b
8 = -2 + b
b = 8+2
b = 10
Thus, the y-intercept of the function is: b=10
Answer:
the answer is 12
Step-by-step explanation
first you got to divide the 12 and the 3 which is 4
then you got to add 8 and 22 which would get you 30 and then bring the times 2 down and the multiply it to the 4 which is 8 and then you subtract the 30 and the 8 and then you'll get 12
Answer:
13.2/hour
Step-by-step explanation:
10% of 12 = 1.2
12+1.2=13.2
In standard form it would be 2x - 3y = 3
Answer:
7.6923%
Step-by-step explanation:
Let y% be the percent of 520.
520y = 40
y = 0.076923...
y = 7.6923%