Question 1050105
{{{ 7x - 4y = 5 }}}
Get it into the slope-intercept form
{{{ 4y = 7x - 5 }}}
{{{ y = (7/4)*x - 5/4 }}}
This is in the form {{{ y = m*x + b }}}, where
{{{ m }}} = slope
{{{ b }}} = y-intercept
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{{{ m = 7/4 }}}
Any line parallel to the given line will also
have slope = {{{ 7/4 }}}
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The line passes through ( -4, -1 )
Use the general point-slope formula:
{{{ ( y -(-1) ) / ( x -(-4) ) = 7/4 }}}
{{{ ( y + 1 ) / ( x + 4 ) = 7/4 }}}
Multiply both sides by {{{ 4*( x+4 ) }}}
{{{ 4*( y + 1 ) = 7*( x + 4 ) }}}
{{{ 4y + 4 = 7x + 28 }}}
{{{ 4y = 7x + 24 }}}
{{{ y = (7/4)*x + 6 }}} answer
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check:
Does this line go through ( -4, -1 ) ?
{{{ -1 = (7/4)*(-4) + 6 }}}
{{{ -1 = -7 + 6 }}}
{{{ -1 = -1 }}}
OK