Question

What is the slope of a line parallel to -6x + 3y = 5?O-1/2O 1/2O 20 -2

Answer 1

A line written in slope-intercept form is given by

`y=mx+b`

Where m represents the slope and b the y-intercept.

Rewritting our equation, we have

`\begin{gathered} -6x+3y=5 \\ 3y=6x+5 \\ y=(6)/(3)x+(5)/(3) \\ y=2x+(5)/(3) \end{gathered}`

Comparing to the slope-intercept form, we know that the slope of this line is the coefficient of x, in this case, 2.

`m=2`