Question 65102
y = mx + b

This is called the slope-intercept form because "m" is the slope and "b" gives the y-intercept . i think u know about the slope of the straight line.

equation of the straight line  which is parallel to the line y=x+5 is y=x+k
   where k is a constant
y=x +k passes through ( 3,2)
therefore 2=3+k
       k=-1
required equation is y=x-1
 slope intercept  form is y=x-1
equation of the st. line parallel to the line y=-4x+2 is y=-4x + h
where h is a constant
putting the value (x-2,5),  5=-4(x-2)+h
                            h=4x -3
the equation is y=-4x +4x -3
              y=-3
this is the required slope intercept form