Question 375832
  <pre><font size = 3 color = "indigo"><b>
Hi,
the standard slope-intercept form for an equation of a line y = mx + b  
where m is the slope and b the y-intercept.
Line parallel to the following  
 x +6y=5   Solving for y to put into the slope-intercept form
y = -x/6 + 5/6  m = (-1/6)
New line parallel to this line has the same slope
y = -x/6 + b  Using ordered pair Pt(2,4) to solve for b
4 = -2/6 + b
4 + 1/3 =  13/3 = b
y = -x/6 + 13/3
{{{drawing(300,300, -6, 6, -6, 6,
circle(2, 4,0.2),
graph( 300, 300, -6, 6, -6, 6,-x/6 + 13/3,-x/6 + 5/6
))}}}