Question 1204563
Write an equation of the line that passes through the pair of points.

(−2, −3), (4, 5)

Write an equation of the line that passes through the pair of points.
Let   P (−2, −3)(x1,y1)  and ,Q (4, 5),(x2,y2)

The equation of line passing through two points is

{{{((x-x1)/(x1-x2))= ((y-y1)/(y1-y2))}}}

plug the values


{{{((x-(-2))/((-2)-(4)))= ((y-(-3))/((-3)-(5)))}}}


{{{(x+2)/-6= (y+3)/-8}}}

simplify

-8(x+2)=-6(y+3)

-8x-16=-6y-18

-8x+6y+2=0

8x-6y-2=0


 *[illustration slope.png]