Question

How do you convert two points to standard form(ax+by=c)?
points are 1,2 and 4,4 please include explalation

Answer 1

You want the equation of the line passing through the points (1,2) and (4,4) in standard form.

Slope of the line m = (y2 - y1) / (x2 - x1) = (4-2)/(4-1) = 2/3

Equation of the line is: (y-y1) = m(x-x1)
y - 2 = 2/3(x - 1)
multiply both sides by 3
3y - 6 = 2x - 2
2x - 3y = -6 + 2
2x - 3y = -4
is the equation of the line in standard form.

Answer 2

@ranga wont we distruble a -1 one to make the -4 postive

Answer 3

@ranga

Answer 4

Some follow the convention to make the coefficient of x positive others make c positive. Depends on what your textbook/teacher say.

Answer 5

ok thanks