Question

Given the general form: ax + by = c How can we rewrite this general for the equation of a line, so that it is in slope intercept form? (a, b, and c are real numbers other than 0.) Hint: Substitute in values for a,b,c if you are confused) YOUR FINAL ANSWER SHOULD HAVE a,b,c in it. *

Answer 1

`y = (c)/(b) - (ax)/(b)` or
`y = (c-ax)/(b)`

Explanation:

Slope intercept form is y = mx + b, so you rewrite it to equal y.

ax + by = c

by = c - ax

y = (c - ax) / b

`y = (c)/(b) - (ax)/(b)`

In the image, all the lines overlap. This proves that all the equations are equal to each other.