# Line

Straight line passing through points A [-3; 22] and B [33; -2]. Determine the total number of points of the line which both coordinates are positive integers.

Result

n =  9

#### Solution:

$24x+36y-720 = 0 \ \\ y = -\dfrac23 x +20 \ \\ x>0 \land y>0 \land x,y\in N \ \\ x>0 \land x<30\land x,y\in N \ \\ x \in \{ 3, 6, 9, 12, 15, 18,21, 24, 27\} \ \\ n = 9 \ \\$

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...): Be the first to comment! #### Following knowledge from mathematics are needed to solve this word math problem:

For Basic calculations in analytic geometry is helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc. Do you solve Diofant problems and looking for a calculator of Diofant integer equations? Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?

## Next similar math problems:

1. Diophantus We know little about this Greek mathematician from Alexandria, except that he lived around 3rd century A.D. Thanks to an admirer of his, who described his life by means of an algebraic riddle, we know at least something about his life. Diophantus's youth l
2. Rectangle The perimeter of the rectangle is 22 cm and content area 30 cm2. Determine its dimensions, if the length of the sides of the rectangle in centimeters is expressed by integers.
3. Closest natural number Find the closest natural number to 4.456 to 44.56 and to 445.6.
4. Year 2020 The four-digit number divided by 2020 gives a result of 1, **. (Can not be in form 1,*0. ) Write all the options.
5. Divisibility Is the number 761082 exactly divisible by 9? (the result is the integer and/or remainder is zero)
6. Mistake Nicol mistake when calculate in school. Instead of add number 20 subtract it. What is the difference between the result and the right result?
7. Number Is number 5.146852 irrational?
8. Monkey Monkey fell in 38 meters deep well. Every day it climbs 3 meters, at night it dropped back by 2 m. On what day it gets out from the well?
9. Server Calculate how many average minutes a year is a webserver is unavailable, the availability is 99.99%.
10. Youth track Youth track from Hronská Dúbrava to Banská Štiavnica which announced cancellation attracted considerable media attention and public opposition, has cost 6.3 euro per capita and revenue 13 cents per capita. Calculate size of subsidies to trip group of 28.
11. Camp In the camp are children. 1/2 went on a trip, 1/4 went to bathe and 38 children remained in the room. How many children are in camp?
12. When will I be a millionaire? Barry monthly send 280 euros to the bank, which he deposits bear interest of 2.1% p. A. Calculate how many months must Barry save to save 1000000 euros? Inflation, interest rate changes, or bank failures ignore.
13. Diofant 2 Is equation ? solvable on the set of integers Z?
14. Diofant equation In the set of integers (Z) solve the equation: ? Write result with integer parameter ? (parameter t = ...-2,-1,0,1,2,3... if equation has infinitely many solutions)
15. Class When Pythagoras asked how many students attend the school, said: "Half of the students studying mathematics, 1/4 music, seventh silent and there are three girls at school." How many students had Pythagoras at school?
16. Four pupils Four pupils divided $1485 so that the second received 50% less than the first, the third 1/2 less than a fourth and fourth$ 154 less than the first. How much money had each of them?
17. Gauss Help little C.F. Gauss sum all the integers from 1 to 400.