Question 688483
The parallel line has the same slope. This
equation is in the form {{{ y = mx + b }}} where
{{{ m }}} is the slope.
{{{ m = -7 }}}. {{{ b }}} can be any value, and the line
will still be parallel, so
{{{ y = -7x - 5 }}} is a parallel line.
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Any perpendicular line will have slope = {{{ -1/m }}}
{{{ -1/(-7) = 1/7 }}}
{{{ y = (1/7)*x + 3 }}} is a perpendicular line
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A line with any slope other than these 2 will be 
an intersecting line, so
{{{ y = 3x -2 }}} is an intersecting line
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Here is a plot of all 4 lines:
{{{ graph( 500, 500, -10, 10, -10, 10, -7x + 5, 3x - 2, -7x - 5, (1/7)*x + 3 ) }}}