Write the equation in slope-intercept form of the line that is parallel to the graph of each equation and passes through the given point. y = 1⁄2 x + 5 through (4,-5)

Step-by-step explanation:

The parallel lines have the same slope.

We have:

y = 1/2x + 5.

Therefore, the line has the equation:

y = 1/2x + b

Put the coordinates of the point (4, -5) to the equation:

-5 = (1/2)(4) + b

-5 = 2 + b                subtract 2 from both sides

-5 - 2 = 2 - 2 + b

-7 = b → b = -7

Finally we have:

y = 1/2x - 7

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

mr. india