Hello!

To calculate the slope given two points, we use the formula y2-y1/x2-x1. You can switch the ones and twos and the slope will be the same. We will have (-1,3) represent (x1,y1) and (5,3) represent (x2,y2).

Now we plug these numbers into the equation.

3-3/5+1
0/6
Undefined

Since the number is divided by zero, the slope is undefined, or the line is vertical. Just to check, we will switch the ones and twos.

3-3/-6
0/-6
Undefined

Our line is vertical, therefore our slope is undefined.

I hope this helps!

4 0

3 years ago

Functions f(x) and g(x) are defined below. Determine where f(x) = g(x) by graphing.

Reika [66]

Answer:

Option D. x = 4

Step-by-step explanation:

we have

$f(x)=\frac{1}{x-3}+1$

$g(x)=2\sqrt{x-3}$

we know that

The solution of the system

f(x)=g(x)

is the x-coordinate of the intersection point both graphs

using a graphing tool

The intersection point is (4,2)

see the attached figure

therefore

The solution is x=4

8 0

3 years ago