[tex]y=\frac{2}{3} x[/tex] is the required equation.
Step-by-step explanation:
Equation of line is given as, -2x + 3y = 15
Now we have to write the equation in y = mx+ b form, where m is the slope and b is the y- intercept.
So the above line can be written as,
3y = 2x+ 15
Dividing both sides by 3 we will get,
[tex]y=\frac{2}{3} x+\frac{15}{3}[/tex]
[tex]y=\frac{2}{3} x+5[/tex] is the equation of the given line
If a line is parallel to the given line then its slope must be the same, so the equation of line parallel to the given line is,
[tex]y=\frac{2}{3} x[/tex] is the required equation.
