66.0k views
2 votes
What is the equation of the line that passes through the points (7,2) and (-2,-5)

User Carlosvin
by
8.3k points

1 Answer

0 votes

Given: Two points below:


\begin{gathered} (7,2) \\ (-2,-5) \end{gathered}

To Determine: The equation of the line passing through the given line

The formula for finding the equation of the line passing through two given points is


\begin{gathered} (x_1,y_1);(x_2,y_2) \\ \text{equation formula} \\ (y-y_1)/(x-x_1)=(y_2-y_1)/(x_2-x_1) \end{gathered}

Use the formula to find the equation of the given points as shown below:


\begin{gathered} (7,2);(-2,-5) \\ x_1=7;y_1=2 \\ x_2=-2;y_2=-5 \\ By\text{ substitution into the formula} \\ (y-2)/(x-7)=(-5-2)/(-2-7) \end{gathered}
\begin{gathered} (y-2)/(x-7)=(-7)/(-9) \\ (y-2)/(x-7)=(7)/(9) \\ \text{cross}-\text{multiply} \\ 9(y-2)=7(x-7) \end{gathered}
\begin{gathered} 9y-18=7x-49 \\ 9y-7x=-49+18 \\ 9y-7x=-31 \end{gathered}

Hence, the equation of the line passing through the points (7,2) and (-2,-5) is

9y-7x=-31

User Rlib
by
7.7k 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