Answer with explanation:
Equation of a line passing through point (a,b) and has a slope m is given by :-
From the given picture , given point = (-3,2)
a) Equation of a line passing through point (-3 ,2) and has a slope 3 is given by :-
b) Equation of a line passing through point (-3 ,2) and has a slope -5 is given by :-
c) Equation of a line passing through point (-3 ,2) and has a slope is given by :-
We know that when slope is undefined , then the line is parallel to y axis.
d) The line parallel to y axis and passes through given point : x=-3
[Note , when slope is undefined , it means x-values does not change through out the line ∵ slope = ]