Answer:
Step-by-step explanation:
<u>slope-intercept form</u>
y= mx +c, where m is the slope and c is the y-intercept.
Let's rewrite the given equation into the slope-intercept form so we can find out its gradient.
3x +2y -6= 0
2y= -3x +6
<em>Dividing</em><em> </em><em>by</em><em> </em><em>2</em><em> </em><em>throughout</em><em>:</em>
Thus gradient of given line=
Parallel lines have the same gradient.
Thus gradient of line=
Subst. m= into the equation:
To find c, substitute a pair of coordinates.
When x=0, y=0,
Thus, the equation of the line is .