Using the "gradient, two-point form", we have:

From the given data, we have that

Therefore, substitute in the given values:
We have that:

Simplify further

Multiply both sides by the LCM, 5x:

Simplify:


Note that the equation of a straight line is given by Ax + By = C where A and B are coefficients of x and y respectively. C is the constant. Hence:
6x+5y=15
Answer:
(x+5)^2+(y-8)^2=4^2
Step-by-step explanation:
I used a website called desmos.
Step-by-step explanation:
Let x be the number of points the 5 girls scored.
=> 41 - x is the number of points the 2 boys scored.
We have x + 29 = 41 - x or x - 29 = 41 - x.
=> 2x = 12 or 2x = 70
=> x = 6 or x = 35
We reject x = 6 as 6 is not a multiple of 5. (Each girl would have scored 1.2 points which is absurb)
So x = 35, each girl scored 35/5 = 7 points.
=> 41 - (35) = 6, each boy scored 6/2 = 3 points.
Answer:
y=2/3x+1
Step-by-step explanation:
because its slope is 2/3, and its y intercept is 1, (0,1)