please provide Complete solution in step by step with details if possible type in paper

Find the slope of the line through the following pairs of points. 8. a. (3, 4) and (5, 14) b. (2, *1) and (7, 75) 9. If y varies directly with x and y = 60 when x = 15, nd the constant of variation k. Find the slope and y-intercept of the line represented by each of the following equations. 10. a. y:3x7 b. 2x+5y:10 11. Write the equation of the line passing through the point (1, 3) with slope 5. Write your result in slope-intercept form. 12. Write the equation of the line passing through the points (2, l) and (4, 7). Write your result in slope-intercept form. 13. Graph the linear inequality 2.]: + 3y