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10. what is the slope of the line represented by the equation $2y + 6 =…

Question

  1. what is the slope of the line represented by the equation $2y + 6 = 3x$?

a. $\frac{3}{2}$

b. $-\frac{1}{3}$

c. $\frac{1}{3}$

d. $\frac{2}{3}$

Explanation:

Step1: Isolate the y-term

$2y = 3x - 6$

Step2: Solve for y

$y = \frac{3}{2}x - 3$

Step3: Identify the slope

The coefficient of x is $\frac{3}{2}$

Answer:

a. $\frac{3}{2}$