Find the equation of the line containing the given points in slope-intercept form. Then, use the technique of this section to find a vector parametrization for the same line. Finally, show your equations are equivalent.

P(0,5) Q(2,-1)

I got y=(-3/2)x for my slope-intercept form
I got r(t)=0+2t and r(t)=5-3t for my vector parametrization. Is all that correct? If so, how do I show that my equations are equivalent?

Question

Find the equation of the line containing the given points in slope-intercept form. Then, use the technique of this section to find a vector parametrization for the same line. Finally, show your equations are equivalent.

P(0,5) Q(2,-1)

I got y=(-3/2)x for my slope-intercept form
I got  r(t)=0+2t and r(t)=5-3t for my vector parametrization. Is all that correct? If so, how do I show that my equations are equivalent?