find equation of straight line through point A(-2,-7) and having intercepts of length 3 between straight lines 4x+3y=12 and 4x+3y=3

4x + 3y = 12 and 4x + 3y = 3 are parallel lines

Let us first find the distance between the parallel lines


Let A be the angle made by the line with 4x + 3y = 3

tan A=32-1.821.8=43
Let m be the slope of the line

tan  A=m-431+4m3=439m-12=12 + 16mm=-247
Equation of the line:

7y + 24x + 97=0

  • -97
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