Test VI. Direction: Find an equation of the line satisfying the conditions.

22.) Through the point (-2,3) and parallel to the line whose equation is 2x-y-2=0

23.) Through the point (2,4) and perpendicular to the line whose equation is x - 5y + 10 = 0.

Activity 1. You have just demonstrated your conceptual understanding of concepts of two-dimensional coordinate system, midpoints and the distance between two points, graph of equations, lines (including its slope, standard and general equations, parallel and perpendicular lines), angle between two lines, and distance from a point to a line. Now, I will require you to critically analyze and show your clear and complete solution to the following mathematical problems below.

5.) Show by means of slopes that the four points (0,0), (-2,1), (3,4), and (5,3) are vertices of a parallelogram (a quadrilateral with opposite sides parallel).