Write an equation for the line that is parallel to the given line and that passes through the given point.

y = 1/2x – 8; (–6, –17)

y = -2x + 14

y = 1/2x + 5/2

y = 2x – 14

y = 1/2x – 14

The correct answer is D) y = 1/2x - 14

Step-by-step explanation:

To find this equation, start with the slope of the original line. Since it is 1/2, the new line will also have that slope because parallel lines have the same slope. Now we can use this with the given point to find the equation.

y - y1 = m(x - x1)

y + 17 = 1/2(x + 6)

y + 17 = 1/2x + 3

y = 1/2x - 14

LMN = 14.2 cm

Step-by-step explanation:

We need to find the length of MN but for that, we first need to find the circumference of the circle.

Circumference = = =

Length of the arc MN = =

Adding the length of arc LM to get:

LM + MN = =

Rounded to the nearest tenth of a centimeter, the length of arc LMN =  14.2 cm.