Question 1092593
 find the equation of the line passing through P(4,-1) that is parallel to the line joining A(-5,2) and B(9,4). answer in general form
:
Find the slope of the line joining A & B (Since they are parallel, the other line has the same slope. m = {{{(y2 - y1)/(x2-x1)}}}
:
m = {{{((4 - 2))/((9 -(-5)))}}} = {{{2/14))}}} = {{{1/7}}} is the slope 
:
Use point/slope form to find the line passing thru 4, 1. y - y1 = m(x-x1)
y - (-1) = {{{1/7}}}(x - 4)
y + 1 = {{{1/7}}}x - {{{4/7}}}
y  = {{{1/7}}}x - {{{4/7}}} - 1
y  = {{{1/7}}}x - {{{4/7}}} - {{{7/7}}}
y  = {{{1/7}}}x - {{{11/7}}} is the equation
But they want it in the general form
Get rid of the fractions, multiply equation by 7
7y = x - 11
-x + 7y = -1
or multiply by -1
x - 7y = 11 is the general form