Question -
Answer -
Let the slope of line Ax + By + C = 0 be m
Ax + By + C = 0
So, y = -A/Bx – C/B
m = -A/B
By using the formula,
Equation of the line passing through point (x1, y1)and having slope m = -A/B is
y – y1 = m (x – x1)
y – y1= -A/B (x – x1)
B (y – y1) = -A (x – x1)
∴ A(x – x1) + B(y – y1) = 0
So, the line through point (x1, y1)and parallel to the line Ax + By + C = 0 is A (x – x1) + B (y – y1)= 0
Hence proved.