Step 1: Circle the place value of the digit to be rounded. This is the rounding digit. Step 2: Look to the neighboring digit on the right. Step 3: a) If the neighboring digit is less than five (0 - 4), keep the rounding digit the same.
Okay, to answer this question,
<span>Perpendicular lines have slopes that are inverse of one another and with opposite signs so,
If a line has a slope of m= -2 than a perpendicular line will have slope m=1/2
If a line has a slope of m= -3/4 than a perpendicular line will have slope m=4/3
If a line has a slope of m= 6 than a perpendicular line will have slope m=-1/6
So, just find the slope of your line, using it, get the slope of the line that will be perpendicular and then just get the equation for a line that has that slope and passes through point (-2,3) using:
y - y1 = m(x - x1)
I hope I helped you with my answer</span>
Nothing changes if you don't add anything.
Example:
10+10=20
20+0=20
nothing changes.
So firstly, we have to find f(x) when x = 8 and x = 0. Plug the two numbers into the x variable of the function to solve for their f(x):
![f(0)=\frac{2*0+3}{3*0-3}\\ f(0)=\frac{0+3}{0-3}\\ f(0)=\frac{3}{-3}\\ f(0)=-1\\ \\ f(8)=\frac{2*8+3}{3*8-3}\\ f(8)=\frac{16+3}{24-3}\\ f(8)=\frac{19}{21}](https://tex.z-dn.net/?f=%20f%280%29%3D%5Cfrac%7B2%2A0%2B3%7D%7B3%2A0-3%7D%5C%5C%20f%280%29%3D%5Cfrac%7B0%2B3%7D%7B0-3%7D%5C%5C%20f%280%29%3D%5Cfrac%7B3%7D%7B-3%7D%5C%5C%20f%280%29%3D-1%5C%5C%20%5C%5C%20f%288%29%3D%5Cfrac%7B2%2A8%2B3%7D%7B3%2A8-3%7D%5C%5C%20f%288%29%3D%5Cfrac%7B16%2B3%7D%7B24-3%7D%5C%5C%20f%288%29%3D%5Cfrac%7B19%7D%7B21%7D%20)
Now that we have their y's, we can use the slope, aka average rate of change, formula, which is
. Using what we have, we can solve it as such:
![\frac{\frac{19}{21}-(-1)}{8-0}=\frac{\frac{40}{21}}{8}=\frac{40}{21*8}=\frac{40}{168}=\frac{5}{21}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%5Cfrac%7B19%7D%7B21%7D-%28-1%29%7D%7B8-0%7D%3D%5Cfrac%7B%5Cfrac%7B40%7D%7B21%7D%7D%7B8%7D%3D%5Cfrac%7B40%7D%7B21%2A8%7D%3D%5Cfrac%7B40%7D%7B168%7D%3D%5Cfrac%7B5%7D%7B21%7D%20)
In short, the average rate of change from x = 0 to x = 8 is 5/21.
Use y=mx + b, which is slope intercept form
b = y intercept(when x=0)
m = slope
You need to find the y intercept. Use your coordinates and substitute it in the slope intercept equation.
we use (6, -8)
y = mx + b
Then, -8 = -3/2(6) + b
-8 = -9 + b
1 = b
Thus,
y = -3/2x + 1