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Mathematics

1 answer:

Effectus [21]3 years ago

4 0

Answer:

1. m= 1/2 b=3

2. m= 1/2 b=-2

3 and 4. answered below

5. The point of intersection is where two lines intersect.

Step-by-step explanation:

you have -x+2y=6. finding the slope is very easy, you just have to isolate y.

2y=6+x ---> y = 3+ x/2. The slope would be 1/2 for the first one. the y intercept would be 3.

To graph, there are different ways of doing it. You can do it by finding the y intercept and x intercept, by making a chart and finding plotting points, or you can do it graphing the y intercept and doing rise over run from there.

The

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Find the equation of all tangent lines having slope of -1 that are tangent to the curve y=(9)/(x+1)

fredd [130]

Answer:

$f(x)=\frac9{x+1}\\ f'(x)=-\frac9{(x+1)^2}\\ f'(x)=-1\ \iff\ -\frac9{(x+1)^2}=-1\ \to \ \frac9{(x+1)^2}=1\ \to \ (x+1)^2=9\\ |x+1|=3\ \to \ x+1=3\ \vee\ x+1=-3\\ x_1=2\ \vee\ x_2=-4\\ f(x_1)=f(2)=\frac9{2+1}=3\\ f(x_2)=f(-4)=\frac9{-4+1}=-3$