Question

write the equation of each line in the given form the line through (0,-2) and (4,6) in point slope form

Answer 1

point slope form is y-y sub 1=m(x-x sub1)
to find the slope you do m= (y sub1 - y sub2)/(x sub 1 - x sub 2)

Answer 2

so the slope would be (-2+6)/(0-4) which equals 4/-4

Answer 3

so the point slope form would be y+2=-1(x-0)
first you distribute the -1: y+2=-1x
then you subtract the 2 from both sides: y=-x-2