Answer:
d=2.5
Step-by-step explanation:
first find the coordinate of B(mid point of AC):A(3,7) C(6,11)
d=√(6-3)²+(11-7)²
d=√3²+4²
d=√9+16=√25=5
since B is the mid point : d/2=5/2=2.5
<h2>Another way :</h2>
B(x1+x2/2 , y1+y2/2) , x1=3 , x2=6, y1=7, y2=11
B(9/2,18/2)
B(9/2,9)
Find AB : the length or distance between 2 points:
d=√(x2-x1)²+(y2-y1)²
d=√(3-9/2)²+(7-9)²
d=√(-3/2)²+(-2)²
d=√1.5²+4
d=√6.25
d=2.5
Answer:

Step-by-step explanation:
The slope-intercept form is given by y=mx+c, where m is the slope and c is the y-intercept.
Slope of given line= 
Parallel lines have the same slope. Thus, the slope of the line would also be
.

The value of c can be found by substituting a pair of coordinates.
When x= 4, y= -1,

-1= -3 +c
<em>Add 3 to both sides:</em>
c= -1 +3
c= 2
Thus, the equation of the line is
.
Additional:
Do check out the following for a similar question on slope-intercept form!
Answer:
Center: 
Radius: 
Step-by-step explanation:
It is necessary to remember that the Equation of the circle in Center-radius form, is:

Where the center of the circle is at the point (h, k) and the radius is "r".
Then, given the following equation of the circle:

We can notice that it is written in Center-radius form. Then we can identify that:

Therefore the center is:

And the radius is:

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