Question

write the equation of a line in point slope form that passes through the points (6,-8) and (-2,4)

Answer 1

first yyou need to find the vector of the line.
can be found by using:

(6, -8) - (-2, 4) = (8 , -12)

now you just need to use this expression, FOR EXAMPLE:
(x , y) = (6, -8) + k(8 , -12)

Answer 2

2y = -3x + 2

Answer 3

slope is -3/2

Answer 4

First find the slope of the 2 points using (y2-y1)/x2-x1) As (6,-8) (x1,y1) and (-2,4) (x2,y2)

Once you get the slope (m) plug into the equation
y = mx + b - m bieng the slope
then pick one of the coordinates and plug into equation
(y-y1) = m (x-x1)
and SOLVE =)