Slope point form:
We need the slope "m" and a point (x₀,y₀)
y-y₀=m(x-x₀)
1)
we calculate the slope "m".
Given two points:
(x₁,y₁)
(x₂,y₂)
the slope "m" is:
m=(y₂-y₁) / (x₂-x₁)
In this case:
(4,10)
(6,11)
m=(11-10) / (6-4)=1/2
Now, we calculate the solpe point form.
(4,10)
m=1/2
y-y₀=m(x-x₀)
y-10=(1/2)(x-4)
we make the standard form
y-10=x/2 - 2
Lowest common multiple=2
2y-20=x-4
-x+2y=-4+20
-x+2y=16
Answer: -x+2y=16
Since 8 students take both, that leaves only 4 students who take Algebra I alone.
Likewise since 8 students take both, that leaves 10 who only take Algebra 2
So out of the 60, twenty two are taking either Alg I Alg Ii or both.
That leaves 38 people who are not taking either.
b. 38
You can set this up using a 2 circle venn diagram. Just be sure to put the 8 who take both in first.
Answer:y=2/3x-10/3
- 4/-6 is 4/6 so m is 4/6 then fill in the x and y variables in y=Mx+b solve for b then start plotting the equation of the line to check and you get your answer
I think this is the answer you might need to check again with more people
