Draw the graph of the following equations, and identify their slopes and $y$-intercepts. Also, find the coordinates of the points where these lines cut the $y$-axis.
(A) $y = -3x + 4$
(B) $2y = 4x + 7$
(C) $5y = 6x - 10$
(D) $3y = 6x - 11$
Are any of the lines parallel?

(A)

$$y = -3x + 4; \text{Slope} = -3; y\text{-intercept} = (0, 4)$$

(B)

$$2y = 4x + 7; \text{Slope} = 2; y\text{-intercept} = (0, 3.5)$$

(C)

$$5y = 6x - 10; \text{Slope} = 1.2; y\text{-intercept} = (0, -2)$$

(D)

$$3y = 6x - 11; \text{Slope} = 2; y\text{-intercept} = \left(0, -\frac{11}{3}\right)$$

By the graph, $(B)$ and $(D)$ are parallel lines as both have slope $2$.

Caution
Students should remember that two lines $y = ax + b$ are parallel only when their slopes $a$ are equal;
The value of $b$ does not affect whether the lines are parallel.