Question

Write the slopes intercept form of the equation of the line through the given points.

Answer 1

Slope intercept form
y=mx+b
m=slope
b=yintercept

slope for the line passing through the points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)

given
(2,-2) and (2,-3)
slope=(-3-(-2))/(2-2)=(-1)/0=undefined

y=undefinedx
this means that the equation is x=something
we see
(x,y)
(2,-2)
(2,-3)
x=2 is the equation
we cannot write it in slope intercept form