Kelley Bradley

01/06/2023 · Elementary School

I. Find the Slope (if any) and the inclination of the line through the given points. 1. \( (2,3),(5,8) \) 2. \( (-1,4),(4,2) \) 3. \( (-2,-2),(4,2) \) 4. \( (a, a),(b, b) \) 5. \( (a, a),(-a, 2 a) \) II. Graph the line through the given point and having the given slope. 6. \( (5,-2), m=2 \) 7. \( (4,2), m=0 \) 8. \( (0,4), m=-3 \) 9. \( (-3,1) \), no slope III. Find the slopes of the lines through the two points; then determine whether the lines are parallel, coincident, perpendicular or none of these. 10. \( A(1,-2),(-2,-11) ; B(2,8),(0,2) \) 11. \( A(1,5),(-1,-1) ; B(0,3),(2,7) \) 12. \( A(1,2),(3,2) ; \quad B(4,1),(4,-2) \) 13. \( A(1,5),(1,1) ; \quad B(-2,2),(-2,4) \) 14. \( A(1,3),(-1,-1) ; \quad B(0,2),(4,-2) \) 15. if the line through \( (x, 5) \) and \( (4,3) \) is parallel to a line with slope 3 . Find \( x \) 16. if the line through \( (x, 1) \) and \( (0, y) \) is coincident with the line through \( (1,4) \) and \( (2,-3) \). Find \( x \& y \). 17. if the line through \( (-2,4) \) and \( (1, y) \) is perpendicular to one through \( (-2,4) \) and \( (x, 2) \). Find a relationship between \( x \) and \( y \). 18. If the line through \( (x, 4) \) and \( (3,7) \) is parallel to one through \( (2,-1) \) and \( (5,1) \). Find \( x \) 19. if the line through \( (x, 5) \) and \( (4,3) \) is perpendicular to a line with slope 3 . Find x 20. Find the pitch(Slope) of the roof shown in Figure.