to calculate the slope m , use the ' gradient formula '
m = 
with (
,
) = (0, - 1 ) and (
,
) = (1, 5 )
m = 
= 6
0
Answer: 6 students
What we know:
Students: 24
Students who play checkers: 
Students who also play sudoku:
of the
24 ÷ 3 = 8, so 8 × 2 = 16 (students who play checkers)
× 2 = 
So the answer is,
6 students play both checkers and sudoku
Answer:
The answer is 3.
Explanation:
Factors of 18:
1, 2, 3, 6, 9, 18.
Factors of 21:
1, 3, 7.
The highest number that both sets contain is 3, so the GCF will be 3.
Substitution
Step 1: Solve for x or y in either of the two equations. In the equations that you are given, y is already solved for you.
Step 2: Plug in 2x + 6 into the opposite equation.
2x + 6 = -3x + 16
- 6 - 6
------------------------------
2x = -3x + 10
+ 3x + 3x
------------------------------
5x = 10
------ ------
5 5
x = 2
Step 3: Plug in the x value into either equation.
y = 2(2) + 6
y = 4 + 6
y = 10
The final answer gets expressed as a coordinate pair: (x,y) (2,10)
I hope this helps you :)
