©Apply 36. Using th e tables below, predict w h e th e r th e two graphs will intersect. Plot th e points
an d sketch the lines. Do the two lines ap p e ar to intersect? Explain.-1 QD
-2
-1
0 5
1
1-2 -18
-1 -1 4
0-10
1-6
2-2- 2y - 6 = 3x
- 2y + 4n= - 6 x
Find the slope and y-intercept of the graph of each equation.- y —2 = —3x 38. y + ^x=0 39. y—9x = |
- — 2y = 6(5 - 3x) 42. y - d= cx 43. y = (2 - a)x + a
- Think About a Plan Polar bears are listed as a th re a te n e d species. In 2005, there
w ere ab o u t 25,000 p o lar bears in th e world. If th e n u m b e r of polar bears declines by
1000 each year, in w h at year will p o lar bears b eco m e extinct?
- W hat eq u a tio n m odels th e n u m b e r of p o lar bears?
- How can graphing th e eq u a tio n help you solve th e problem?
- Error Analysis A student drew the graph at the right for the equation
y = — 2x + 1. W hat error did the stu d en t make? Draw the correct graph. - Computers A co m p u ter repair service charges $50 for diagnosis an d
$35 p e r h o u r for repairs. Let x be th e n u m b e r of h o u rs it takes to repair
a com puter. Let y b e th e total cost of th e repair.
a. W rite an eq u a tio n in slope-intercept form th a t relates x a n d y.
b. Graph th e equation.
c. R easoning Explain why you should draw th e line only in Q uadrant I.
Use the slope and y-intercept to graph each equation. - y = 7 - 3x 49. 2y + 4x = 0 50. 3y + 6 = -2x
- y + 2 = 5x - 4 52. 4x + 3y = 2x - 1 53. —2(3x + 4) + y = 0
Write a recursive formula and an explicit formula in slope-intercept form that
model each arithmetic sequence. How does the recursive formula relate to the
slope-intercept form?
54.3,5,7,9,... 55.-1,3,7,11,... 5 6. 0.7, 0.3, -0.1, -0.5,.
i 57. W riting D escribe two ways you c a n d eterm in e w h e th e r an eq u a tio n is linear. - Hobbies S uppose you are doing a 5000-piece puzzle. You have already placed
175 pieces. Every m in u te you place 10 m ore pieces.
a. W rite an eq u a tio n in slope-intercept form to m odel th e n u m b e r of pieces placed.
Graph the equation.
b. After 50 m ore m inutes, how m an y pieces will you have placed?
Ch al l en g e Find the value of a such that the graph of the equation has the given slope m. - y = 2 ax + 4, m = - 1 60. y = —2^1 ax — 5, m = ^^561. y =^3 ~^ax + 3, m = jg^9