Find the equation of the lines passing through the following pairs of points. a)A(-4,6),B(8,-3). b)P(-3,-1) ,Q(-2,2)
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question a
x' = -4 x " = 8
y' = 6 y " = -3
equation of line y - y' = x" -x'(x-x')/y"-y'
y-6= 8+4(x +4)/-3-6
y-6 = 12(x+4)/-9
y-6 = 4(x+4)/-3
6-y = 4x + 16/ 3
18 - 3y = 4x +16
4x+ 3y -2 = 0 or 4x + 3y = 2
this is the equation of line
x' = -4 x " = 8
y' = 6 y " = -3
equation of line y - y' = x" -x'(x-x')/y"-y'
y-6= 8+4(x +4)/-3-6
y-6 = 12(x+4)/-9
y-6 = 4(x+4)/-3
6-y = 4x + 16/ 3
18 - 3y = 4x +16
4x+ 3y -2 = 0 or 4x + 3y = 2
this is the equation of line
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