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. *

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Answer:

[tex]y = \frac{c}{b} - \frac{ax}{b}[/tex] or [tex]y = \frac{c-ax}{b}[/tex]

Step-by-step 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

[tex]y = \frac{c}{b} - \frac{ax}{b}[/tex]

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

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