Question 871197
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Hi
0 = 1 + 1/(2+x)
-1 = 1/(2+x)
 x = -3   
A = (-3,0)
y = 1+1/2  when x = 0
B = (0, 1.5)
c) Calculate the coordinates of the point of intersection of the line AB and the line with equation 3y=4x   0r {{{y = (4/3)x}}}
B(0, 1.5)
A(-3 ,0) m = 1.5/3 = 1/2
Line AB
 y - 0 = (1/2)(x+3)   ***Using point-slope form, {{{y - y[1] = m(x - x[1])}}}P(-3,0)
 {{{y = (1/2)x + 3/2}}}  Line AB
 Calculating the coordinates of the point of intersection line AB and line {{{y = (4/3)x}}}
{{{(4/3)x = (1/2)x + 3/2}}}
     8x = 3x + 9
     5x = 9
      x = 9/5 = 1.8  and y = 36/15 = 12/5 = 2.4
(1.8, 2.4) Point of Intersection