# General form: Ax + By + C = 0

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##### Intros
###### Lessons
1. Slope intercept form VS. General form VS. Slope-point form
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##### Examples
###### Lessons
1. Determine the General form of the following line equations:
1. Line A
2. Line B
3. Line C
4. Line D
2. Rewrite the following equations into general form
1. $y = {3 \over 5} x +2$
2. $y - 3 = 4 (x + 2)$
3. Write all three forms of equations.
3. Given the slope and a point of the line, write the equation in standard form
1. $m = -3, (4 , 6)$
2. $m = -{3 \over 2}, (-1, 2)$
3. $m = 0, (-2 , 4)$
4. $m = undefined, (2, -3)$
4. Given two points through a line of question, find the general form
1. $(-4, 2)$ & $(3, 5)$
2. $({-3 \over 5}, 2)$ & $(1, {2 \over 3})$
5. Find the slope and the $y$-int from the following general form
1. $4x - 5y = 6$
2. $7x + 2y = -4$
6. A point $(3,5)$ passes through a linear function: $kx + 2y - 6 = 0$. Find $k$.
1. 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.
1. 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) $A \neq 0, B = 0, C = 0$
1. Find the coordinates of intercepts of the linear equation $2x - 3y + 30 = 0$