College Algebra

Question

Find the equation of the linear function  that has  and that is parallel to .

Answer 1

Hello, thank you for taking the time to post your question!

If it’s parallel that means that the slope will be the same, so the slope of g(x) is going to be 213. From there then you can plug in the slope and the given point to solve for the value of the y-intercept

8 = 9(213) + b

8 = 1917 + b

-1909 = b

Meaning that the full equation here is g(x) = 213x – 1909

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

g(9) = 8 is the point (9,8)

a line parallel to k(u) has slope = 213

g(u) = 213u + b, calculate b by plugging in the point (9,8)

8 = 213(9) + b

b = 8-1917= -1909

g(u) = 213u -1909 is a line parallel to k(u) and satisfies g(9)=8