Name: SAT Math Help & School Math Mastery
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#31744

linear equations

slopes

coordinate geometry

hard

120 sec

Line $A$ is defined by the equation $a x + 3 y = 12$ . Line $B$ is defined by the equation $2 x - b y = 8$ . If line $A$ is perpendicular to line $B$ , and line $A$ passes through the point $(3, 2)$ , what is the value of $b$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.