How do we? We can’t just...umm
Your #5 solution is already correct.
A linear function has the form y=mx+b
you have noticed that y increases by 5 for every 10 steps along x. Therefore, your slope m is 5/10=1/2.
b is your y value at x=0
so y=(1/2)x+5
Additionally, you can calculate it with 2 points
using (10, 10) and (20, 15) and the elimination method just inserting x and y into the basic form
I:10=10m+b
II:15=20m+b
subtraction of II from I:
-5=-10m
-1=-2m
->m =1/2
insert this in I again:
10=10*(1/2)+b
10=5+b
5=b
again y=(1/2)x+5
Use PEMDAS and the distributive property to solve this problem-
3(x+2)-2(x+1)=8
(3 times x and 3 times 2)
3x+6-2(x+1)=8
(-2 times x and -2 times 1)
3x+6-2x-2=8
Combine like terms (3x/-2x and 6/-2)
x+4=8
Subtract 4 from both sides
x=4
I really don't know try it and if you don't get it bring it to school and then ask the teacher
Answer:
hope you can read my handwriting