216k views
2 votes
Find the coordinates of the point 3/10 of the way from a to b. a= (-3, -5) b = (10, 7)

User Dmnkhhn
by
8.5k points

1 Answer

3 votes


\displaystyle\\Answer:\ (0,-(29)/(13) )

Explanation:


\displaystyle\\A(-3,-5)\ \ \ \ \ B(10,7) \ \ \ \ \ \lambda=3/10=0.3\ \ \ \ \ C(x_C,y_C)=?\\\\\boxed {x_C=(x_A+\lambda x_B)/(1+\lambda) }\ \ \ \ \ \ \ \ \ \ \boxed {y_C=(y_A+\lambda y_B)/(1+\lambda) }\\\\x_C=(-3+0.3(10))/(1+0.3) \\\\x_C=(-3+3)/(1.3) \\\\x_C=(0)/(1.3)\\\\x_C=0\\


\displaystyle\\y_C=(-5+0.3(7))/(1+0.3) \\\\y_C=(-5+2.1)/(1.3) \\\\y_C=(-2.9)/(1.3) \\\\y_C=-(2.9(10))/(1.3(10)) \\\\y_C=-(29)/(13)


\displaystyle\\Thus,\ C(0,-(29)/(13) )

User AmbiguousX
by
8.0k 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