Question

Which equation is of a line is parallel to -2x + 3y = 15

Answer 1

$y=\frac{2}{3} x$ 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,

$y=\frac{2}{3} x+\frac{15}{3}$

$y=\frac{2}{3} x+5$ 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,

$y=\frac{2}{3} x$ is the required equation.