Answer:
The value of b is 2 and The equation of line is y = 3 x + 2 .
Step-by-step explanation:
Given as :
The slope of line is 3
The points through which line passes is ( x , y ) = ( 1 , 5 )
Now,
The equation of line in slope-intercept form
y = m x + c
Where x and y are the points on axis
m is the slope of line
c is the constant term
∵ Line y = m x + b , passes through point ( 1 , 5 ) having slope m = 3
So , 5 = 3 × 1 + b
Or, 5 = 3 + b
∴ b = 5 - 3
I.e b = 2
So, The equation can be written as
y = 3 x + 2
Hence The value of b is 2 and The equation of line is y = 3 x + 2 . Answer
The correct answer is option 3 which is the third graph showing the correct locations of the points on the coordinate plane.
<h3>What is a graph?</h3>
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The graph in option third is showing correct points on the x-y plane which are ( -4,3) and ( 1,-2).
-4 is along the negative x-axis and 3 is along the positive y-axis similarly to the second point positive 1 is along the x-axis and negative 2 is along the y-axis.
Therefore the correct answer is option 3 which is the third graph showing the correct locations of the points on the coordinate plane.
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A research paper recommends using Poisson process to model the number of failures in commercial water pipes The paper also gives estimates the failure rate in units of failures per 100 miles of pipe per day; for four different types of pipe and for many different years_ For example, for cast iron pipe in 2005, the authors' estimate is the failure rate is 0.0864 failures per 100 miles per day: Suppose a town had 2500 miles of cast iron pipe underground in 2005 What is the probability of at least two failures