To write a slope intercept equation you need the slope and the y intercept which is b. The slope of y=x is 1 and to find a perpendicular slope you flip it and make it the opposite sign so in this case is would still be 1\1 but now it will be negative so your slope is -1 and you plug in 2 for x and 2 for y into the equation y=mx+b and m=your slope (which is -1) to find the value of b. so you get y=-1(2)+b. When you solve you get b=4 and then rewrite the intercept slope equation which is y=mx+b and plug in your slope for m and 4 for b so your final answer is y=-1x+4
Divide both sides by cos[x]
<span>You get 1 = Tan[x] </span>
<span>Tan[x] = 1 where x = 45 degrees {+ integer multiples of 180 degrees due to periodicity of tan} </span>
<span>x = 45 + 180*k OR Pi/4 + kPi, for k any integer</span>
X - (8 - x), if x is your number
Answer: There is probability of 0.367 that there will be no breakdown on his car in the trip.
Step-by-step explanation:
Since we have given that
Mean (λ) = 0.5 breakdown per week
Number of weeks the owner of the car is planning to have a trip on his car for = 2 weeks
So, mean for 2 weeks would be

We need to find the probability that there will be no breakdown on his car in the trip.
Probability that there will be no breakdown on his car in the trip is given by
P(X=0) is given by

Hence, there is probability of 0.367 that there will be no breakdown on his car in the trip.
Answer:
slope: 0 y-int: 6
Step-by-step explanation:
Horizontal lines ALWAYS have a slope of 0! Their y intercept is the y value they're always at, or the y value of the equation of their line. Looking at the graph, you can see that it's at 6.