Question

write the equation 3x-4y+12=0 in the form of ax+by=c​

Answer 1

QUESTION

write the equation 3x-4y+12=0 in the form of ax+by=c

SOLUTION

➡️3x-4y+12=0

a=3

b=-4

c=12

➡️3x-4y=-12

Answer 2

General form is 3x - 4y + 12 = 0

We know that, the general equation of any straight line is

$\: \: \: \: \: \: \color{blue}{ax + by + c = 0,}$

where a, b, c are constants.

$\tt\color{teal}The \: given \: equation \: is$

$\: \: \: \: \color{red}3x = 4y - 12$

$\color{red}or, \: 3x - 4y + 12 = 0$

This is the required general form.

To know more:

Let us know more about the given equation.

Well, the equation of any straight line in two dimensions is represented by the two variables x and y.

The given equation is

3x = 4y + 12

If we put it in y = mx + c form, we get

4y = 3x - 12

or, y = (3/4) x - 3

This is the slope-intercept form.

However we can write the equation of the given straight line in the intercept form:

x/(- 4) + y/(- 3) = 1