Question

Find the slope of a line parallel to -5y + 2 = 3x ?a. -3/5b. -5/3C. 3/5d. 5/3

Answer 1

Subtracting 2 from the given equation we get:

$\begin{gathered} -5y+2-2=3x-2, \\ -5y=3x-2. \end{gathered}$

Dividing by -5 we get:

$\begin{gathered} \frac{-5y}{-5}=\frac{3x}{-5}-\frac{2}{-5}, \\ y=-\frac{3}{5}x+\frac{2}{5}\text{.} \end{gathered}$

The above equation is in slope-intercept form, therefore, the slope of the given line is:

$-\frac{3}{5}\text{.}$

Now, recall that two lines are parallel if they have the same slope.

Answer: Option a.