how can you change linear equation in form ax+by=c to y=mx+b form and vice versa

Sagot :

You simply have to take the linear equation form (ax + by = c) and solve for y. So you get:
by = c - ax
y = c/b - ax/b

Since c/b will be a constant, you can replace it with any variable (i.e. b), and so that represents the y-intercept and a/b will also be a constant, so that can also be replaced by any variable (i.e. m), and it represents the slope.

Arithmetic operations can be used to change linear equations in form ax+by=c to y=mx+b form and vice versa and this can be determined by simple subtraction and division operation.

Given :

ax + by = c

y = mx + c

The following steps can be used to change the linear equation in form (ax+by=c) to (y=mx+b) form:

Step 1 - Write the equation.

ax + by = c

Step 2 - Subtract ax from both the sides in the above equation.

ax + by - ax = c - ax

by = c - ax

Step 3 - Divide by 'b' from both sides in the above equation.

[tex]y = \dfrac{-a}{b}x+\dfrac{c}{b}[/tex]

By following the above steps equation (ax + by = c) can be converted into (y = mx + c).

The following steps can be used to change linear equation in form (y = mx + c) to (ax + by = c) form:

Step 1 - Write the equation.

y = mx + c

Step 2 - Subtract mx from both sides in the above equation.

y - mx = c + mx -mx

y - mx  = c

By following the above steps equation (y = mx +c) can be converted into (ax + by = c).

For more information, refer to the link given below:

https://brainly.com/question/13101306