help please!!!!!!!!!!!

Question

What is the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4) ?

Answer 1

(3, -5), (-8, 4)

have a line through them with slope = "rise over run" = (4+5)/(-8-3) = -9/11

the line's equation is

y = -9x/11 + b where b = y intercept, plug in either point to solve for b

-5= -9(3)/11 + b

b = -5 +27/11 = -28/11

y = -9x/11 - 28/11 in slope intercept form

-9/11 = (y+5)/(x-3)

y = (-9/11)(x-3) - 5 in slope intercept form

or eliminate the fraction

11y =-9x +27 -55 = -9x -28

9x + 11y = -28 in general form