SOLUTION: Dear Math Tutor, The curve y=1+1/(2+x) crosses the x-axis at the point A and the y-axis at the point B. a) Calculate the coordinates of A and B b) Find the equation of line AB

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Question 871197: Dear Math Tutor,
The curve y=1+1/(2+x) crosses the x-axis at the point A and the y-axis at the point B.
a) Calculate the coordinates of A and B
b) Find the equation of line AB
c) Calculate the coordinates of the point of intersection of the line AB and the line with equation 3y=4x
For a) Do I use: y=mx+b and does mx=1 and b=1/(2+x)?
With Gratitude,
Nats

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

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
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, P(-3,0)
Line AB
Calculating the coordinates of the point of intersection line AB and line

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

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