First, find the slope (m) =
=
=
= 
Now plug in ONE of the points and the slope into the point-slope equation:
y - y₁ = m(x - x₁); where (x₁, y₁) is the chosen point.
y - 5 =
(x - 1) (I used (1,5) as the chosen point)
3(y - 5) = x - 1
3y - 15 = x - 1
3y -14 = x
-14 = x - 3y → x - 3y = -14
Answer: x - 3y = -14
Answer:
b. $28
Step-by-step explanation:
We have these following probabilities:
0.4 = 40% probability of $40
0.2 = 20% probability of $30
0.2 = 20% probability of $20
0.2 = 20% probability of $10
The expected value is:
We multiply each value by its probability. So

So the correct answer is:
b. $28
Answer: It is linear. When a line is linear it just means it makes a straight line when you graph it. When it isn’t it will be curved or in some weird shape.
Step-by-step explanation:
Answer:
The two numbers are 31 and 19
Step-by-step explanation:
Let x and y be the numbers
x+y = 50
x-y = 12
Add the two equations together
x+y = 50
x-y = 12
-----------------
2x +0y = 62
Divide by 2
2x/2 = 62/2
x = 31
Now find y
31+y = 50
Subtract 31
y = 50-31
y = 19
Answer:

Step-by-step explanation:
We know that the distance formula is
. We already have the x values, which are
and
, subtracting
from 5a gets us
.
Same concept for the y values, let's subtract the first y value from the second.
The second y value is
, while the first is 

Hope this helped!