Question

Which equation represents a line which is parallel to the line 3y - 2x = -24?Submit AnswerOy= -x - 7Oy= - žx – 2Oy= {x +3Oy= x +4

Answer 1

`y=(2)/(3)x+3`

Step-by-step explanation

Parallel lines have the same slope. First we should rewrite the given line in the slope-intercept form by clearing y, so that we can see what is the slope:

`\begin{gathered} 3y-2x=-24 \\ 3y=2x-24 \\ y=(2)/(3)x-8 \end{gathered}`

The slope of the line is 2/3, so the slope of the parallel line must be 2/3 too. From this options, the equation with a slope of 2/3 is:

`y=(2)/(3)x+3`