Answer:
y = -2/3 x + 23/3
Explanation:
The general formula of the linear equation is:
y = mx + c
where:
m is the slope
c is the y-intercept
1- getting the slope:
We are given that the line we are looking for is parallel to the line
y = -2/3 x + 3
This means that the slope of the two lines are equal. Comparing the general formula with the given line, we would find that the slope of the given line is -2/3. This means that the slope of the line we are looking for is also -2/3
The equation of the line now becomes:
y = -2/3 x + c
2- getting the value of c:
To get the value of c, we will use a point that belongs to the line (7,3), substitute in the equation and solve for c as follows:
y = -2/3 x + c
3 = (-2/3)(7) + c
3 = -14/3 + c
c = 3 + 14/3
c = 23/3
Based on the above, the equation of the line we are looking for is:
y = -2/3 x + 23/3
Hope this helps :)
<span>1. In how many games does a girl play against a boy?
A: Because there are 5 girls, each will play against 5 boys, so in total is 5*5 = 25 times.
2. </span><span>In how many games does a girl play against another girl?
A: In this case, we only need to calculate how many girl pairs are there among these 5 girls, and it become a combination problem which can solved by </span>

3.The fraction of games "B vs B" should be the number of "B vs B" (which is 10) divide the total number of the games "B vs B" & "G vs G" & "B vs G" (which is 10+10+25=45, see the analysis in 1.A and 2.A), so the fraction should be 10/45=2/9
4.One person will have to play against 9 people at the tournament, and the total number of the games is 45, so the fraction should be 9/45 = 1/5
Answer:
-2x^2-5x-3
Step-by-step explanation:
(3x^2 – 3x+6) - (5x^2 + 2x + 9)
Distribute the minus sign
(3x^2 – 3x+6) - 5x^2 - 2x - 9
Combine like terms
3x^2 -5x^2 -3x-2x +6-9
-2x^2-5x-3