For the y-intercept clear the y:
[tex]3x=-5y[/tex][tex]5y=-3x[/tex][tex]y=-\frac{3}{5}x[/tex]
Replace x for 0:
[tex]y=0[/tex]
The y intercept will be 0.
Now replace equal to the intercept:
[tex]0=-\frac{3}{5}x[/tex]
The intercept in x and y is (0,0)
So the answer is:
Because the slope is -3/5
