Respuesta :

Answer:

The equation of  line is  2x-3y=15.

Step-by-step explanation:

Given;

Slope is 2/3 and crosses y axis at (0,-5).

Now, the point = (0,-5) that is [tex](x_{1},y_{1})[/tex] and the slope of the line = 2/3 which is [tex]m[/tex].

So, now putting the formula for the equation of the line:

[tex]y-y_{1} =m(x-x_{1})[/tex]

[tex]y-(-5)=\frac{2}{3}(x-0)[/tex]

[tex]y+5=\frac{2}{3}(x-0)[/tex]

On solving equation we get :

[tex]3y+15=2x-0[/tex]

[tex]15=2x-3y[/tex]

[tex]2x-3y=15[/tex]

Therefore, the equation of  line is  2x-3y=15.

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