Answer:
The equation of the Parallel line passes through the point (-1,4) is
y = -5 x -1
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given the equation of the line y = -5 x + 2
Given point (-1 , 4 )
The equation of the parallel line of a given line is 5x + y +k=0 ...(i)
The equation (i) passes through the point (-1,4)
5(-1)+4+k=0
-5 +4 +k =0
-1 + k = 0
k = 1
<em>The equation of the Parallel line passes through the point (-1,4) is </em>
<em> y = -5 x -1</em>
The answers on the right are in reverse order to the questions on the left.
I find it easier to see if I have a picture.
Answer:
Malcolm is showing evidence of gambler's fallacy.
This is the tendency to think previous results can affect future performance of an event that is fundamentally random.
Step-by-step explanation:
Since each round of the roulette-style game is independent of each other. The probability that 8 will come up at any time remains the same, equal to the probability of each number from 1 to 10 coming up. That it has not come up in the last 15 minutes does not increase or decrease the probability that it would come up afterwards.
Answer:

Step-by-step explanation:
To solve, we need to find the y-intercept (b). In order to find the y-intercept, we can plug in the slope and the (x,y) coordinate pair given to us into the equation to solve for the y-intercept:
y=mx+b
4=(-7/-2)*-2+b
4=14/-2+b
4=-7+b
Add 7 to both sides
b=11
Therefore the equation is:
(note that the fraction is positive since the two negatives cancel out)