Question 1148254
The lines 3x+2y-1=0 , 4x+5y=0 intersect at M find the coordinates of M . Equation of the line through M with 3/4 as it's slope 
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3x+2y = 1
4x+5y = 0  --> y = -4x/5
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3x+2y = 1
sub for y
3x - 8x/5 = 1
7x/5 = 1
x = 5/7
y = -4/7
M is (5/7,-4/7)
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M with 3/4 as it's slope
y - y1 = m*(x - x1)
y + 4/7 = (3/4)*(x - 5/7)
{{{y = 3x/4 - 31/28}}}

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