Una recta pasa por el punto \( P(2,1) \) y tiene una pendiente \( m=\frac{5}{2} \) Responde a cada uno de los incisos. a. Determina la ecuación de la recta y exprésala en su forma pendiente-ordenada al origen (forma ordinaria). b. Grafica la ecuación

Tegn en figur som illustrerer \( 13 \% \).

4. Use the Euclidean Straightedge and Compass to draw each of the following: in all problems below a segment \( A B \) is given by its end points \( A \) and \( B \).: a. Construct segments \( 2,3,4 \), etc. times larger than \( A B \). b. A point \( C \) is known to lie outside the straight line \( A B \). Construct a point \( D \) symmetric to \( C \) with respect to \( A B \).

1) Vertex \( (4,5) \); passes through \( (1,2) \)

A two-kilometre \( (2 \mathrm{~km}) \) pler and a one-kilometre \( (1 \mathrm{~km}) \) pler extend perpendlcularly into the ocean with four kilometres \( (4 \mathrm{~km}) \) offshore between the two plers. A swimmer wishes to swim from the end of the longer pier to the end of the shorter pler with one rest stop on the beach. Assuming that the swimmer recalls that, in any right-angled triangle, Hypotenese Find the shortest possible length of the swim and the location of the rest stop (land distance from the longer pier).

7) Даны векторы \( \vec{a}\{-4 ; 1\}, \vec{b}\{0 ;-2\}, \vec{c}\{3 ;-1\} \). 1. Найдите координаты вектора \( \vec{m}=\vec{a}-2 \vec{b}+3 \vec{c} \). 2. Запишите разложение вектора \( \vec{m} \) по координатнь векторам \( \vec{\imath} \) и \( \vec{\jmath} \).