<PRE><B>Question 574774</B>
You can start with the fact that parallel lines have identical slopes.
Find the slope of the line given by the equation:
8x = 7y+4 Convert to slope-intercept form:
{{{highlight(y = (8/7)x-4/7)}}} So the slope is {{{m = 8/7}}}
The new equation will start out as:
y = (8/7)x+b
Now find the value of b by substituting the x- and y-coordinates of the given point (-6, 8)
8 = (8/7)(-6)+b Simplify.
8 = -48/7 + b Solve for b.
b = 8+48/7
b = 56/7+48/7
b = 104/7
The final equation is:
{{{highlight_green(y = (8/7)x+104/7)}}}
{{{graph(400,400,-15,15,-15,20,(8/7)x-4/7,(8/7)x+(104/7))}}}</PRE>