The equation of the line passing through the points (12, –4) and (–36, 8) is y = -1/2 x - 1
The formula for calculating the equation of a line is expressed as:
y = mx + b
m is the slope of the line
b is the y-intercept
Given the coordinate points expressed as (12, –4) and (–36, 8)
Get the slope:
m = 8+4/-36-12
m = 12/-48
m = -1/4
Get the y-intercept "b"
Recall that y = mx + b
8 = -1/4(-36) + b
8 = 9 + b
b = 8 - 9
b = -1
Get the required equation.
Recall that y = mx + b
y = -1/2 x + (-1)
y = -1/2 x - 1
Hence the equation of the line passing through the points (12, –4) and (–36, 8) is y = -1/2 x - 1
Learn more here: brainly.com/question/17003809
Answer:
m>11
Step-by-step explanation:
2(m+3)<-5+3m
2(m+3)>3m-5
2m+6>3m-5
6<3m-5-2m
6<m-5
6+5<m
11<m
m>11
Answer:
60
Step-by-step explanation:
You need to think of it as an equation system.
First of all, let's call A the apple trees, P the pear trees and V the avocado's trees.
As for every 3 pear trees we have 4 apple trees, it can be written as:
4A = 3P
Then, we can clear the pears dividing both sides by 3:
4A/3 = 3P/3
(4/3)A = P
This is, we have one pear tree for every 4/3 apple trees.
Then we go to the other relation. For every 5 pears trees there are two avocados trees:
2V = 5P
As we want the ratio of avocados to apples we can replace the pear trees by it's expression depending on A:
2V = 5 ((4/3)A)
2V = (20/3) A
Multiplying both sides by 9 we make appear our 18 avocados trees:
2V *9 =( 20/3) A * 9
18 V = 60 A
So, for 18 avocados trees we have 60 apple trees.
Answer:
n = 9
Step-by-step explanation:
Step 1: Write equation
-4(9n + 9) = -12(4n - 6)
Step 2: Solve for <em>n</em>
<u>Distribute:</u> -36n - 36 = -48n + 72
<u>Add 48n to both sides:</u> 12n - 36 = 72
<u>Add 36 to both sides:</u> 12n = 108
<u>Divide both sides by 12:</u> n = 9
Step 3: Check
<em>Plug in n to verify if it's a solution.</em>
-4(9(9) + 9) = -12(4(9) - 6)
-4(81 + 9) = -12(36 - 6)
-4(90) = -12(30)
-360 = -360
