- a. Graph 2x + 3y = 6, 2x+3y= 12, and 2x + 3y = 18 in th e sam e
coordinate plane.
b. How are th e lines from p a rt (a) related?
c. As C increases, w hat h ap p e n s to the graph of 2x + 3y = C? - a. Fundraising Suppose your school is having a talen t show to raise m oney for
new b a n d supplies. You th in k th a t 200 stu d en ts an d 150 adults will attend. It will
cost $200 to p u t on the talent show. W hat is a n eq u a tio n th at describes th e ticket
prices you can set for stu d en ts an d adults to raise $1000?
b. Open-Ended G raph your equation. W hat are th ree possible prices you could set
for student and adult tickets?
^SAT/ACTSt a n d a r d i ze d Test Pr ep
o- W hat is y = —j x + 2 w ritten in stan d ard form using integers?
Short
i R e s p o n s eC D fx + y = 2 CD 3x + 4y = 2 CD 3x + 4y = 8- W hich of th e following is an equation of a horizontal line?
C D 3x + 6y = 0 C D 2x + 7 = 0 C tD - 3 y = 29
CD -3x~4y=8CD x - 2y = 4- W hich eq u a tio n m odels a line w ith the sam e y-intercept b u t half th e slope of the
line y = 6 — 8x?
C D y = - 4 x + 3 C D y = 6 - 4x C D y = 3 - 8x C D y = - 16x + 6 - W hat is th e solution of ^x — 19 = -13 + 2x?
CD -9 CD -4 CD4 CD 9 - The d ram a club plans to atten d a professional p roduction. Between 10 an d 15
students will go. Each ticket costs $25 plus a $2 surcharge. There is a o ne-tim e
handling fee of $3 for th e entire order. W hat is a linear function th a t m odels this
situation? W hat dom ain an d range are reasonable for th e function?
Mixed Review
AWrite an equation in point-slope form of the line that passes through the given ^ See Lesson 5-4.
points. Then write the equation in slope-intercept form.- (5, - 1 ) , ( - 3 , 4) 70. (0, - 2 ) , (3,2) 71. (-2, -1), (1,2)
Solve each compound inequality. Graph your solution.- -6< 3t< 9 73. -9.5 < 3 -y < 1.3
See Lesson 3-6.- 3x + 1 > 10 or 5x + 3 < - 2
Get Ready! To prepare for Lesson 5-6, do Exercises 75-77.
Find the slope of the line that passes through each pair of points. See Lesson 5-1.- (0, - 4 ) , (2, 0) 76. (5,5), (3, - 1 ) 77. ( - 4 , 2), (5, 2)
3 2 8 Chapter 5 Linear Funct ions