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} (-5y)/(-5)=(3x)/(-5)-(2)/(-5), \\ y=-(3)/(5)x+(2)/(5)\text{.} \end{gathered}`

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

`-(3)/(5)\text{.}`

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

Answer: Option a.