Geometry: 78014

Good day,
Even though it is a trivial task, I don’t know how to deal with it. This is analytic geometry:
Find all integers a, b, and c such that the line given by the equation ax+by=c passes through the points [4,3] and [−2,1].

Thank you for your answer

Correct answer:

a =  -12
b =  36
c =  60

Step-by-step explanation:

c=5 4 3=60 A=(4,3) B=(2,1)  A,B p  a Ax+b Ay=c a Bx+b By=c a 4+b 3=60 a (2)+b 1=60  4a+3b=60 2ab=60  Row242 Row1Row2 4a+3b=60 2.5b=90  b=2.590=36 a=4603b=4603 36=12  a=12 b=36

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips for related online calculators
The line slope calculator is helpful for basic calculations in analytic geometry. The coordinates of two points in the plane calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of the segment, intersections of the coordinate axes, etc.
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions: