a. Given the expression of the form Ax + By + C = 0, the slope is
[tex]\text{slope}=\frac{-A}{B}[/tex]
In this case: A = -2 and B = 3.
[tex]\text{slope}=\frac{-(-2)}{3}=\frac{2}{3}[/tex]
Answer: 2/3
b. A = -4 and B = 1, so
[tex]\text{slope}=\frac{-(-4)}{1}=4[/tex]
Answer: 4
c. A = 5 and B = -7, so
[tex]\text{slope}=\frac{-5}{-7}=\frac{5}{7}[/tex]
Answer: 5/7
d. A = 5 and B = -8, so
[tex]\text{slope}=\frac{-5}{-8}=\frac{5}{8}[/tex]
Answer: 5/8
