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:
    General form:  Ax  + By  + C = 0
    1. Line A
    2. Line B
    3. Line C
    4. Line D
  2. Rewrite the following equations into general form
    1. y=35x+2y = {3 \over 5} x +2
    2. y3=4(x+2)y - 3 = 4 (x + 2)
    3. Write all three forms of equations.
      Write the equation of the line in general form, slope intercept form, and slope point form
  3. Given the slope and a point of the line, write the equation in standard form
    1. m=3,(4,6)m = -3, (4 , 6)
    2. m=32,(1,2)m = -{3 \over 2}, (-1, 2)
    3. m=0,(2,4)m = 0, (-2 , 4)
    4. m=undefined,(2,3)m = undefined, (2, -3)
  4. Given two points through a line of question, find the general form
    1. (4,2)(-4, 2) & (3,5)(3, 5)
    2. (35,2)({-3 \over 5}, 2) & (1,23)(1, {2 \over 3})
  5. Find the slope and the yy-int from the following general form
    1. 4x5y=64x - 5y = 6
    2. 7x+2y=47x + 2y = -4
  6. A point (3,5)(3,5) passes through a linear function: kx+2y6=0kx + 2y - 6 = 0. Find kk.
  7. For the line 4x3y+10=04x - 3y + 10 = 0, find the coordinates of a point when the x-coordinate is 12{1 \over 2} of the yy-coordinate.
  8. Given Ax+By+C=0Ax + By + C = 0, describe what happens to the line when the following occurs:
    i) A=0,B0,C0A = 0, B \neq 0, C \neq 0
    ii) A=0,B0,C=0A = 0, B \neq 0, C = 0
    iii) A0,B=0,C0A \neq 0, B = 0, C \neq 0
    iv) A0,B=0,C=0A \neq 0, B = 0, C = 0
  9. Find the coordinates of intercepts of the linear equation 2x3y+30=02x - 3y + 30 = 0