<PRE><B>Question 665246</B>
Slope is as you state {{{(Y2-Y1)/(X2-X1) = (1/4)}}}
So, using (-4,3) and (r,5)
{{{(5-3)/(r-(-4)) = (1/4)}}}
Yielding
{{{2/(r+4) = (1/4)}}}
Multiply both sides by (r+4)
{{{(2/cross(r+4))*cross(r+4) = (1/4)*(r+4)}}}
Yields
2 = {{{(r+4)/4}}}
Multiply both sides by 4
Yields
8 = r+4
Subtract 4 from both sides
r = 4
...
check by plugging r into the coordinates
(-4, 3) and (4, 5)
slope = {{{(5-3)/(4-(-4)) = (2/8) = (1/4)}}}
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