If the equations in a system of equations have the same slope and the same y-intercept, how many solutions are there?
a. one solution
b. no solution
c. infinitely many solutions

infinitely many solutions

Step-by-step explanation:

When the system of equations have different slopes and different y intercept then the system has only one solution (exactly one solution)

When the system of equations have  same slopes and different y intercept then the lines are parallel and they have no solution  

When the system of equations have  same slopes and same y intercept then the lines are one above the other and they have infinite solutions

If the equations in a system of equations have the same slope and the same y-intercept then they have infinitely many solutions.

6

step-by-step explanation:

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4