Answer:
The right answer is "3.33333".
Step-by-step explanation:
The given points in the question are:
[tex]P=(7,-3) = (x_1,y_1)[/tex]
[tex]Q=(x,\frac{3}{6-x} )=(x_2,y_2)[/tex]
Now,
The slope of PQ will be:
= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
By putting the values, we get
= [tex]\frac{\frac{3}{6-x}+3 }{x-7}[/tex]
= [tex]\frac{3+18-3x}{(6-x)(x-7)}[/tex]
= [tex]\frac{21-3x}{(6-x)(x-7)}[/tex]
= [tex]\frac{3(x-7)}{(6-x)(x-7)}[/tex]
= [tex]\frac{3}{x-6}[/tex]
hence,
x = 6.9
it's slope will be:
= [tex]3.33333[/tex]
