Answer:
Step-by-step explanation:
<u>As per given table there are pairs:</u>
- (-4, -2), (-2, -1), (0, 0), (2, 1), (4, 2)
<u>This is line passing through the origin and the equation is:</u>
Rate of change is the slope 1/2, which is same over any interval
K so we are solving for y
5x = -y + 6
-6 -6
5x-6=-y
or -5x-6=y
Hope that helped :) if you don't understand something i did, ask and i can try to explain ;)
Answer:
D=6
Step-by-step explanation:
A quick and easy way to find the distance between these points is to use the distance formula: d= √(x2-x1)^2 + (y2-y1)^2, where (x1,x2) and (y1,y2) are the coordinates of the first and second point. (It doesn't matter which point is (x1,x2) or (y1,y2), just stay consistent)
Plug in the coordinates:
d= √(0-(-6)^2+ (8-8)^2
Simplfy
d=√(6)^2+(0)^2
d=√36
d= 6
Answer: y = -10
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Explanation:
There are two ways to solve this.
The first way is to divide both sides by -3 and then subtract 5 from both sides
-3(y+5) = 15
(-3(y+5))/(-3) = 15/(-3) ... divide both sides by -3
y+5 = -5
y+5-5 = -5-5 ... subtract 5 from both sides
y = -10
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Or we can distribute first, then add 15 to both sides, and finally divide both sides by -3
-3(y+5) = 15
-3(y)-3(5) = 15 ... distribute
-3y-15 = 15
-3y-15+15 = 15+15 ... add 15 to both sides
-3y = 30
-3y/(-3) = 30/(-3) ... divide both sides by -3
y = -10
Either way we get the same answer
-----------------
Let's check the answer
-3(y+5) = 15
-3(-10+5) = 15 ... replace y with -10
-3(-5) = 15
15 = 15
We get a true equation at the end after plugging in y = -10, so we have confirmed the answer