Question

question 1
point b on a segment with endpoints a(1, -1) and c(3, 2) partitions the segment in a 1:3 ratio. find b
(0.5, 0.75)
(-0.25, 1.5)
(1.5, -0.25)
(0.75, 0.5)
question 2

Explanation:

Step1: Coordenadas \(x\)

Usar la fórmula \(x=\frac{m_1x_2 + m_2x_1}{m_1 + m_2}\), donde \(m_1 = 1\), \(m_2=3\), \(x_1 = 1\), \(x_2 = 3\)
\(x=\frac{1\times3+3\times1}{1 + 3}=\frac{3 + 3}{4}=\frac{6}{4}=1.5\)

Step2: Coordenadas \(y\)

Usar la fórmula \(y=\frac{m_1y_2 + m_2y_1}{m_1 + m_2}\), donde \(m_1 = 1\), \(m_2=3\), \(y_1=-1\), \(y_2 = 2\)
\(y=\frac{1\times2+3\times(-1)}{1 + 3}=\frac{2-3}{4}=\frac{-1}{4}=-0.25\)

Answer:

\((1.5,-0.25)\)