Marsh Moran
09/12/2023 · High School
The line \( l_{1} \) passes through the points \( (-1,3) \) and \( (11,12) \). (a) Find an equation for \( l_{1} \) in the form \( a x+b y+c=0 \), where \( a, b \) and \( c \) are integers. (b) The line \( l_{2} \) has equation \( 3 y+4 x-30=0 \). Find the co-ordinates of the point of intersection of \( l_{1} \) and \( l_{2} \).
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(a) Equation of line \( l_{1} \): \( 3x - 4y + 15 = 0 \)
(b) Coordinates of the point of intersection: \((3,6)\)
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