# General form: Ax + By + C = 0

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##### Examples

###### Lessons

- Determine the General form of the following line equations:

- Rewrite the following equations into general form
- Given the slope and a point of the line, write the equation in standard form
- Given two points through a line of question, find the general form
- Find the slope and the $y$-int from the following general form
- A point $(3,5)$ passes through a linear function: $kx + 2y - 6 = 0$. Find $k$.
- For the line $4x - 3y + 10 = 0$, find the coordinates of a point when the x-coordinate is ${1 \over 2}$ of the $y$-coordinate.
- Given $Ax + By + C = 0$, describe what happens to the line when the following occurs:

i) $A = 0, B \neq 0, C \neq 0$

ii) $A = 0, B \neq 0, C = 0$

iii) $A \neq 0, B = 0, C \neq 0$

iv) $A \neq 0, B = 0, C = 0$ - Find the coordinates of intercepts of the linear equation $2x - 3y + 30 = 0$