Answer:
I'm going to do 1 as an example and using what I've taught you, you have to do the rest. Hope my explanation helps.
Step-by-step explanation:
We are given the points (-2, -4) and (-1, -1)
We need to find the slope.
The equation to do so is y2 - y1 / x2 - x1
lest say:
-2 is x1
-4 is y1
-1 is x2
-1 is y2
-1 - (-4) / -1 - (-2)
3/1 = 3
slope (m) = 3
We already know the y-intercept is 2
The equation of a line is y = mx + b
For this problem we just have to substitute what we already know.
y = (slope)x + y-intercept
y = 3x + 2
*TIP*
If the y-intercept is negative, let's say: b = -5 (using slope 8)
the equation will be y = 8x - 5
Hope this helps. I wish you all the best. :)
Answer:
sorry i do not know the answer to this one :(SORRY):
Step-by-step explanation:
Answer:
(p,r) = (1/3, 2/9)
Step-by-step explanation:
Here, we want to solve a system of equations
We can rewrite the second equation by dividing through by 2
So we have;
4p + 3r = 2
and
5p - 3r = 1
Add both equations:
9p = 3
p = 3/9
p = 1/3
Recall ;
5p - 3r = 1
3r = 5p - 1
Substitute the value or p here
3r = 5(1/3)-1
3r = 5/3 - 1
3r = 2/3
r = 2/9
So we have the solution set as;
(p,r) = (1/3 , 2/9)
4/6= 8/12
9/12
therefore 9/12 is greater
if B is the midpoint of AC, that means that B cuts AC in two equal halves, namely that AB and BC are identical twins.
![\bf \boxed{A}\stackrel{4x - 2}{\rule[0.35em]{10em}{0.25pt}} B\stackrel{2x+4}{\rule[0.35em]{10em}{0.25pt}}\boxed{C} \\\\\\ 4x - 2 = 2x + 4\implies 2x-2=4\implies 2x = 6\implies x=\cfrac{6}{2}\implies x = 3 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{AB~=~BC}{4(3)-2= \underline{10}}~\hfill \stackrel{AC = AB+BC}{\underline{10}+\underline{10}=20}](https://tex.z-dn.net/?f=%5Cbf%20%5Cboxed%7BA%7D%5Cstackrel%7B4x%20-%202%7D%7B%5Crule%5B0.35em%5D%7B10em%7D%7B0.25pt%7D%7D%20B%5Cstackrel%7B2x%2B4%7D%7B%5Crule%5B0.35em%5D%7B10em%7D%7B0.25pt%7D%7D%5Cboxed%7BC%7D%20%5C%5C%5C%5C%5C%5C%204x%20-%202%20%3D%202x%20%2B%204%5Cimplies%202x-2%3D4%5Cimplies%202x%20%3D%206%5Cimplies%20x%3D%5Ccfrac%7B6%7D%7B2%7D%5Cimplies%20x%20%3D%203%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7BAB~%3D~BC%7D%7B4%283%29-2%3D%20%5Cunderline%7B10%7D%7D~%5Chfill%20%5Cstackrel%7BAC%20%3D%20AB%2BBC%7D%7B%5Cunderline%7B10%7D%2B%5Cunderline%7B10%7D%3D20%7D)