Hey there!
To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.
Let the line that we are trying to determine its equation be 
and the line that is parallel to be 
.
passes through the points (9 , 2) and (3 , -5) which means that we can find its slope using the slope formula:
⇒Subtitute the values :
.
Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:
Slope-Intercept Form:
We know that the coordinates of the point (0 , -3) verify the equation since it is on the line . Now, replace y with -3 and x with 0:
Therefore, the equation of the line 
is 
▪️Learn more about finding the equation of a line that is parallel to another one here:
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Chart;the answer is b
and it makes sense answer is ; also b
a function that model the number of people that receives email in week t is 
.
<u>Step-by-step explanation:</u>
Here we have , Tobias sent a chain letter to his friends . The number of people who receives the email increases by a factor of 4 in every 9.1 weeks , and can be modeled by a function P, which depends on the amount of time t weeks . Tobias initially sent letter to 37 friends . We need to write a function that model the number of people that receives email in week t . Let's find out:
Basically it's an exponential function as
, In question initial value is 37 & and for every 9.1 weeks there is increase in people by a factor of 4 i.e.
⇒ 
But , wait ! People increase in every 9.1 weeks not every week so modified equation will be :
⇒
Therefore , a function that model the number of people that receives email in week t is .
The Matchup are:
1. 1/3(24+15)=1/3•24+1/3•15 - distributive property
2. 101+(29+417) = (101+29) + 417 - associative property of addition.
3. (-14)+81 = 81 + (-14) - commutative property of addition.
4. -72 +0=-72 - additive identity.
5. 13/17•17/13=1 -multiplicative inverse.
<h3>What is a distributive property?</h3>
The distributive Property is one that connote the fact that if a factor is said to be multiplied by the sum or the addition of two terms, it is vital to multiply all of the two numbers by using the factor, and lastly carry out the addition operation.
Hence, The Matchup are:
1. 1/3(24+15)=1/3•24+1/3•15 - distributive property
2. 101+(29+417) = (101+29) + 417 - associative property of addition.
3. (-14)+81 = 81 + (-14) - commutative property of addition.
4. -72 +0=-72 - additive identity.
5. 13/17•17/13=1 -multiplicative inverse.
Learn more about distributive property from
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6 + 9x.....a common factor in both terms is 3
3(2 + 3x) <==
