Question 790141
Slope intercept form of a line is y=mx+b where m is the slope.<P>
Parallel lines have = slopes.  y=2x-8 has a slope, m = 2.  So the slope of the parallel line is 2.<P>
The point slope form of a graph is y-y(1) = m(x-x(1)) where x(1),y(1) is a point on the line.  The problem states (-1,3) is on the line.<P>
We know the slope, 2, and the point (x(1),y(1)) = (-1,3)  <P>
y-3 = 2(x-(-1) = y-3 = 2(x+1) = y-3 = 2x + 2<P>
y = 2x + 5<P>
{{{ graph( 300, 200, -6, 5, -10, 10, 2x+5, 2x-8) }}}