Question

let l: 2x+3y = 6 be a line and P =(5,3) be a point in R2.
-letQ be the point on the line l having its y-coordinate =0 and let R be the point on the line l having its x-coordinate = 0. find the coordinates of the points Q and R.
-plot the points P,Q,R and the line l on a 2d cartesian coordinate system.
-find the components of the vector QP.
-Find a normal vector n to the given line l.
-Find the distance between the point P and the line l.