194k views
5 votes
Write an equation that represents the line.
Use exact numbers.

Write an equation that represents the line. Use exact numbers.-example-1

1 Answer

3 votes


\displaystyle\\Answer:\ (7)/(5)x +(34)/(5)

Explanation:


\displaystyle\\(-7,-3)\ \ \ \ (-2,4)\\\\(x-x_1)/(x_2-x_1)=(y-y_1)/(y_2-y_1) \\\\x_1=-7\ \ \ \ \ x_2=-2\ \ \ \ y_1=-3\ \ \ \ \ y_2=4\\\\(x-(-7))/(-2-(-7)) =(y-(-3))/(4-(-3))\\\\(x+7)/(-2+7)=(y+3)/(4+3) \\\\(x+7)/(5) =(y+3)/(7) \\\\

Multiply both parts of the equation by 7:


\displaystyle\\7((x+7)/(5) )=y+3\\\\7((1)/(5) x+(7)/(5) )=y+3\\\\(7)/(5)x +(49)/(5) =y+3\\\\(7)/(5)x +(49)/(5) -3=y+3-3\\\\(7)/(5)x +(49)/(5)-3=y\\\\(7)/(5)x +(49-3(5))/(5) =y\\\\(7)/(5)x +(49-15)/(5) =y\\\\(7)/(5)x +(34)/(5) =y\\\\So,\ y=(7)/(5)x +(34)/(5)

User Nefron
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories