Simmons Gough
04/09/2023 · Middle School
3. Two lines \( L_{1}: 2 y-3 x-6=0 \) and \( L_{2}: 3 y+x-20=0 \) intersect at point \( A \) (3 marks) a) Find the coordinates of \( A \) b) A third line \( L_{3} \) is perpendicular to \( L_{2} \) at point \( A_{0} \) Find the equation of \( L_{3} \) in the f orm \( y=m x \pm c \) where \( m \) and \( c \) are constants c) Another line \( L_{4} \) is parallel to \( L_{1} \) and passes through ( \( -1,3 \) ). Find the \( x \) and \( y \) inte rcepts of \( L_{4} \) (4 marks)
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The coordinates of point \( A \) are \( (2, 6) \). The equation of line \( L_{3} \) is \( y = 3x \). The \( x \)-intercept of \( L_{4} \) is \( (-3, 0) \) and the \( y \)-intercept is \( (0, \frac{9}{2}) \).
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