174k views
2 votes
Given the point and slope write the equation of the line (-8, 9); slope = -3/2

1 Answer

6 votes

\begin{gathered} \text{slope m=-}(3)/(2) \\ the\text{ line passed thorugh the point (-8,9)} \\ \text{the general straight line equation is} \\ y=mx+b \\ \text{where we know m, then, we must find } \\ \text{the y-intercept b.} \end{gathered}
\begin{gathered} We\text{ can find b by means of the given point (-8,9).} \\ By\text{ substituying this point and the value of m in the line equations} \\ one\text{ has} \\ 9=-(3)/(2)(-8)+b \\ 9=(3)/(2)(8)+b \\ 9=3\cdot4+b \\ 9=12+b \\ b=9-12 \\ b=-3 \\ \text{hence, the searched line is} \\ y=-(3)/(2)x-3 \end{gathered}

User Schglurps
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