Complete 40, 41

ERROR ANALYSIS In Exercises 40 and 41, describe and correct the error in graphing the function. 44. MATHEMATICAL CONNECTIONS The graph shows the relationship between the base length x and the 40 side length (of the two equal sides) y of an isosceles X triangle in meters. The perimeter of a second isosceles triangle is 8 meters more than the perimeter of the first triangle. y+1 =3x y - 6-30 41. X a. Graph the relationship between the base length and the side length of the second triangle. b. How does the graph in part (a) compare to the -4x+y=-2 graph shown? 45. ANALYZING EQUATIONS Determine which of the equations could be represented by each graph. 42. MATHEMATICAL CONNECTIONS Graph the four y = -3x + 8 y = -x - equations in the same coordinate plane 3y = -x - 3 y = -7x y = 2r - 4 2v - 14 = 4x y = 4 _ 1 y = ax+5 4x - 3 - y = 0 x - 12 = -3y y = -4x - 9 y =6 a. What enclosed shape do you think the lines form? Explain. a b. Write a conjecture about the equations of parallel lines. 43. MATHEMATICAL CONNECTIONS The graph shows the relationship between the width y and the length x of a rectangle in inches. The perimeter of a second rectangle is 10 inches less than the perimeter of the first rectangle. d. a. Graph the relationship between the width and 24 length of the second y - 20 - X rectangle. b. How does the graph in part (a) compare to the the graph shown? 24 x 46. MAKING AN ARGUMENT Your friend says that you can write the equation of any line in slope-intercept form. Is your friend correct? Explain your reasoning