Answer:
Explanation:
To find:-
- The equation of the line passing through (5,2) and parallel to
Answer:-
We are interested in finding out the equation of the line which is parallel to the given line. The equation of the given line is,

The given line is in slope intercept form, the slope intercept form of the line is,
Slope intercept form :-

where ,
is the slope .
is the y-intercept .
On comparing, we have,

The slope is ,

Now as , we know that the slopes of parallel lines are equal . Hence the slope of the line parallel to the given line, would be -3 . The given point to us is (5,2) ; so we can use the point slope form of the line to find out the equation. The point slope form of the line is,
Point slope form:-

where ,
is the slope .
is the coordinate through which the line passes.
On substituting the respective values, we have;

Simplify by opening the brackets , as ;
Add "2" on both the sides,
Add the constant terms ,
This is the required equation of the line.