Answer:
slope = - 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 5) and (x₂, y₂ ) = (8, 3)
m =
=
= - 
Answer:
y = - x + 9
Step-by-step explanation:
Because the line is perpendicular, the slope with be the opposite reciprocal. So, if the slope is 1 as in the equation y = x - 1, the opposite reciprocal is -1.
So the equation that is perpendicular will look like this so far:
y = -x + b (b represents our y-intercept that we have not found yet)
Now we will find the y-intercept. We can find it by substituting the coordinates (5,4) as x and y into the equation right above ^^.
So, 4 = -(5) +b or 4 = -5 + b
Add 5 to both sides to isolate b on the right side. b = 9
Therefore, the y-intercept is 9.
Now we have found everything we need for the equation, which is
y = - x + 9
The probability of rolling a 2 is 1/6. So if you roll 8 times you would expect to roll a 2:
8(1/6)=8/6=1 1/3 times.
Answer:
(0,−2)
Step-by-step explanation: