Answer:
y = 6x + 0
Step-by-step explanation:
Equation of a line
y = mx + c
Given
( 0 , 0) ( -1/2 , -3)
find the slope m
m = y2 - y1 / x2 - x1
x1 = 0
y1 = 0
x2 = -1/2
y2 = -3
Insert the values
m = y2 - y1 / x2 - x1
m = -3 - 0 / -1/2 - 0
= -3/-1/2
Minus cancels minus
= 3/1/2
= 3/1 ÷ 1/2
= 3/1 × 2/1
= 6/1
= 6
m = 6
Substitute any of the two points given into the equation of a line
y = mx + c
Where
y - intercept point y
x - intercept point x
m - slope of the line
c - intercept
(-1/2 , -3)
x = -1/2
y = -3
-3 = 6(-1/2) + c
-3 = -6/2 + c
-3 = -3 + c
-3 + 3 = c
c = 0
y = 6x + 0
The equation of the line is
y = 6x + 0
The question is an illustration of arithmetic sequence.
<em>The number of conversation for 19 people is 171</em>
<u />
<u>(a) 9 people</u>

9 represents the number of people
8 represents the number of conversation each person had
2 represents the number of people having a conversation at once (i.e 2 people at once)
<u>(b) 19 people</u>
We have:

The number of conversation is:

So, we have:




Hence, the number of conversation for 19 people is 171
Read more about arithmetic sequence at:
brainly.com/question/18109692
4(6x+4)-5(3x-6) First you distribute 24x+16-15x+30 then you add like terms so 24x-15x is 9x. 16+30 is 46. So the answer is 9x+46
Answer: x= 21.6
Step-by-step explanation:
12^2 + 18^2 =x^2
144 + 324 =x^2
468 = x^2
c= 21.633
To the nearest tenth place is c= 21.6
The copper wire was 150 meters longer than the steel wire. You take 240-60 and get 180. You can then divide that number by 2 to figure out how long the steel wire was to get 90. From there, subtract the 90 by the original 240 and you’ll get 150.