Respuesta :

Remember that the slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

If lines are parallel then they have the same slope (m)

This means that the slope of the line will be [tex]\frac{1}{2}[/tex]

y = [tex]\frac{1}{2}[/tex]x + b

Now we must find b

To do that you must plug in the point the line goes through in the x and y of the equation.

(-6, -17)

-17 = [tex]\frac{1}{2}[/tex](-6) + b

-17 = -3 + b

-14 = b

y = [tex]\frac{1}{2}[/tex]x - 14

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

y = ½x - 14

Step-by-step explanation:

First, you need to know that parallel lines in Geometry and Algebra mean that they have SIMILAR rate of changes [slopes]. So, ½ stays as is, and your solution is as follows:

-17 = ½[-6] + b

+ 3 -3

+3

----------------

-14 = b

Your parallel equation is:

y = ½x - 14

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

**I have posted a video on You-Tube that talks about how to find perpendicular and parallel lines passing through certain points.

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